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Finding the Fourth Proportional to 144,494.28, 216,703.08 and 39,288.78

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Solution

The fourth proportional to 144,494.28, 216,703.08 and 39,288.78 is: 58,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,494.28 : 216,703.08 = 39,288.78 : x
  2. Step 2: Convert to fraction form
    144,494.28/216,703.08 = 39,288.78/x
  3. Step 3: Cross multiply
    144,494.28x = 216,703.08 × 39,288.78
  4. Step 4: Simplify right side
    144,494.28x = 8,513,999,635.44
  5. Step 5: Solve for x
    x = 8,513,999,635.44/144,494.28
  6. Step 6: Final answer
    x = 58,922.75

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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.