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Finding the Fourth Proportional to 144,127.32, 216,323.87 and 73,099.80

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Solution

The fourth proportional to 144,127.32, 216,323.87 and 73,099.80 is: 109,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,127.32 : 216,323.87 = 73,099.80 : x
  2. Step 2: Convert to fraction form
    144,127.32/216,323.87 = 73,099.80/x
  3. Step 3: Cross multiply
    144,127.32x = 216,323.87 × 73,099.80
  4. Step 4: Simplify right side
    144,127.32x = 15,813,231,266.73
  5. Step 5: Solve for x
    x = 15,813,231,266.73/144,127.32
  6. Step 6: Final answer
    x = 109,717.10

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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.