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Finding the Fourth Proportional to 103,204.80, 142,435.80 and 60,767.28

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Solution

The fourth proportional to 103,204.80, 142,435.80 and 60,767.28 is: 83,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,204.80 : 142,435.80 = 60,767.28 : x
  2. Step 2: Convert to fraction form
    103,204.80/142,435.80 = 60,767.28/x
  3. Step 3: Cross multiply
    103,204.80x = 142,435.80 × 60,767.28
  4. Step 4: Simplify right side
    103,204.80x = 8,655,436,140.62
  5. Step 5: Solve for x
    x = 8,655,436,140.62/103,204.80
  6. Step 6: Final answer
    x = 83,866.60

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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.