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Finding the Fourth Proportional to 145,640, 200,970.40 and 81,104.36

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Solution

The fourth proportional to 145,640, 200,970.40 and 81,104.36 is: 111,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,640 : 200,970.40 = 81,104.36 : x
  2. Step 2: Convert to fraction form
    145,640/200,970.40 = 81,104.36/x
  3. Step 3: Cross multiply
    145,640x = 200,970.40 × 81,104.36
  4. Step 4: Simplify right side
    145,640x = 16,299,575,670.94
  5. Step 5: Solve for x
    x = 16,299,575,670.94/145,640
  6. Step 6: Final answer
    x = 111,916.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.