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Finding the Fourth Proportional to 102,640.20, 153,938.70 and 43,477.80

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Solution

The fourth proportional to 102,640.20, 153,938.70 and 43,477.80 is: 65,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,640.20 : 153,938.70 = 43,477.80 : x
  2. Step 2: Convert to fraction form
    102,640.20/153,938.70 = 43,477.80/x
  3. Step 3: Cross multiply
    102,640.20x = 153,938.70 × 43,477.80
  4. Step 4: Simplify right side
    102,640.20x = 6,692,916,010.86
  5. Step 5: Solve for x
    x = 6,692,916,010.86/102,640.20
  6. Step 6: Final answer
    x = 65,207.55

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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.