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Finding the Fourth Proportional to 103,432, 142,736.16 and 56,328

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Solution

The fourth proportional to 103,432, 142,736.16 and 56,328 is: 77,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,432 : 142,736.16 = 56,328 : x
  2. Step 2: Convert to fraction form
    103,432/142,736.16 = 56,328/x
  3. Step 3: Cross multiply
    103,432x = 142,736.16 × 56,328
  4. Step 4: Simplify right side
    103,432x = 8,040,042,420.48
  5. Step 5: Solve for x
    x = 8,040,042,420.48/103,432
  6. Step 6: Final answer
    x = 77,732.64

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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.