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Finding the Fourth Proportional to 102,432, 141,356.16 and 55,328

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Solution

The fourth proportional to 102,432, 141,356.16 and 55,328 is: 76,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432 : 141,356.16 = 55,328 : x
  2. Step 2: Convert to fraction form
    102,432/141,356.16 = 55,328/x
  3. Step 3: Cross multiply
    102,432x = 141,356.16 × 55,328
  4. Step 4: Simplify right side
    102,432x = 7,820,953,620.48
  5. Step 5: Solve for x
    x = 7,820,953,620.48/102,432
  6. Step 6: Final answer
    x = 76,352.64

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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.