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Finding the Fourth Proportional to 138,802.60, 191,545.32 and 75,139.84

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Solution

The fourth proportional to 138,802.60, 191,545.32 and 75,139.84 is: 103,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802.60 : 191,545.32 = 75,139.84 : x
  2. Step 2: Convert to fraction form
    138,802.60/191,545.32 = 75,139.84/x
  3. Step 3: Cross multiply
    138,802.60x = 191,545.32 × 75,139.84
  4. Step 4: Simplify right side
    138,802.60x = 14,392,684,697.55
  5. Step 5: Solve for x
    x = 14,392,684,697.55/138,802.60
  6. Step 6: Final answer
    x = 103,691.75

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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.