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Finding the Fourth Proportional to 133,640,460.80, 200,460,691.20 and 65,616,012.80

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Solution

The fourth proportional to 133,640,460.80, 200,460,691.20 and 65,616,012.80 is: 98,424,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,640,460.80 : 200,460,691.20 = 65,616,012.80 : x
  2. Step 2: Convert to fraction form
    133,640,460.80/200,460,691.20 = 65,616,012.80/x
  3. Step 3: Cross multiply
    133,640,460.80x = 200,460,691.20 × 65,616,012.80
  4. Step 4: Simplify right side
    133,640,460.80x = 13,153,431,279,676,046
  5. Step 5: Solve for x
    x = 13,153,431,279,676,046/133,640,460.80
  6. Step 6: Final answer
    x = 98,424,019.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.