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Finding the Fourth Proportional to 144,897.68, 217,321.61 and 38,282.78

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Solution

The fourth proportional to 144,897.68, 217,321.61 and 38,282.78 is: 57,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,897.68 : 217,321.61 = 38,282.78 : x
  2. Step 2: Convert to fraction form
    144,897.68/217,321.61 = 38,282.78/x
  3. Step 3: Cross multiply
    144,897.68x = 217,321.61 × 38,282.78
  4. Step 4: Simplify right side
    144,897.68x = 8,319,674,106.85
  5. Step 5: Solve for x
    x = 8,319,674,106.85/144,897.68
  6. Step 6: Final answer
    x = 57,417.58

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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.