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Finding the Fourth Proportional to 144,666, 217,116.72 and 74,565.36

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Solution

The fourth proportional to 144,666, 217,116.72 and 74,565.36 is: 111,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,666 : 217,116.72 = 74,565.36 : x
  2. Step 2: Convert to fraction form
    144,666/217,116.72 = 74,565.36/x
  3. Step 3: Cross multiply
    144,666x = 217,116.72 × 74,565.36
  4. Step 4: Simplify right side
    144,666x = 16,189,386,388.82
  5. Step 5: Solve for x
    x = 16,189,386,388.82/144,666
  6. Step 6: Final answer
    x = 111,908.72

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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.