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Finding the Fourth Proportional to 99,737.20, 149,605.80 and 77,429.80

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Solution

The fourth proportional to 99,737.20, 149,605.80 and 77,429.80 is: 116,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,737.20 : 149,605.80 = 77,429.80 : x
  2. Step 2: Convert to fraction form
    99,737.20/149,605.80 = 77,429.80/x
  3. Step 3: Cross multiply
    99,737.20x = 149,605.80 × 77,429.80
  4. Step 4: Simplify right side
    99,737.20x = 11,583,947,172.84
  5. Step 5: Solve for x
    x = 11,583,947,172.84/99,737.20
  6. Step 6: Final answer
    x = 116,144.70

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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.