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Finding the Fourth Proportional to 144,737.61, 217,106.93 and 102,489.90

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Solution

The fourth proportional to 144,737.61, 217,106.93 and 102,489.90 is: 153,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,737.61 : 217,106.93 = 102,489.90 : x
  2. Step 2: Convert to fraction form
    144,737.61/217,106.93 = 102,489.90/x
  3. Step 3: Cross multiply
    144,737.61x = 217,106.93 × 102,489.90
  4. Step 4: Simplify right side
    144,737.61x = 22,251,266,987.08
  5. Step 5: Solve for x
    x = 22,251,266,987.08/144,737.61
  6. Step 6: Final answer
    x = 153,735.21

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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.