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Finding the Fourth Proportional to 144,502.80, 216,754.52 and 77,974.28

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Solution

The fourth proportional to 144,502.80, 216,754.52 and 77,974.28 is: 116,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,502.80 : 216,754.52 = 77,974.28 : x
  2. Step 2: Convert to fraction form
    144,502.80/216,754.52 = 77,974.28/x
  3. Step 3: Cross multiply
    144,502.80x = 216,754.52 × 77,974.28
  4. Step 4: Simplify right side
    144,502.80x = 16,901,277,633.75
  5. Step 5: Solve for x
    x = 16,901,277,633.75/144,502.80
  6. Step 6: Final answer
    x = 116,961.59

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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.