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Finding the Fourth Proportional to 71,077.60, 106,875.60 and 59,672.80

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Solution

The fourth proportional to 71,077.60, 106,875.60 and 59,672.80 is: 89,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.60 : 106,875.60 = 59,672.80 : x
  2. Step 2: Convert to fraction form
    71,077.60/106,875.60 = 59,672.80/x
  3. Step 3: Cross multiply
    71,077.60x = 106,875.60 × 59,672.80
  4. Step 4: Simplify right side
    71,077.60x = 6,377,566,303.68
  5. Step 5: Solve for x
    x = 6,377,566,303.68/71,077.60
  6. Step 6: Final answer
    x = 89,726.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.