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Finding the Fourth Proportional to 74,308.50, 102,543.03 and 42,475.50

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Solution

The fourth proportional to 74,308.50, 102,543.03 and 42,475.50 is: 58,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,308.50 : 102,543.03 = 42,475.50 : x
  2. Step 2: Convert to fraction form
    74,308.50/102,543.03 = 42,475.50/x
  3. Step 3: Cross multiply
    74,308.50x = 102,543.03 × 42,475.50
  4. Step 4: Simplify right side
    74,308.50x = 4,355,566,470.77
  5. Step 5: Solve for x
    x = 4,355,566,470.77/74,308.50
  6. Step 6: Final answer
    x = 58,614.65

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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.