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Finding the Fourth Proportional to 103,432.95, 142,677.45 and 65,177.46

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Solution

The fourth proportional to 103,432.95, 142,677.45 and 65,177.46 is: 89,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,432.95 : 142,677.45 = 65,177.46 : x
  2. Step 2: Convert to fraction form
    103,432.95/142,677.45 = 65,177.46/x
  3. Step 3: Cross multiply
    103,432.95x = 142,677.45 × 65,177.46
  4. Step 4: Simplify right side
    103,432.95x = 9,299,353,790.28
  5. Step 5: Solve for x
    x = 9,299,353,790.28/103,432.95
  6. Step 6: Final answer
    x = 89,907.07

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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.