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Finding the Fourth Proportional to 144,802.12, 217,174.02 and 39,631.72

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Solution

The fourth proportional to 144,802.12, 217,174.02 and 39,631.72 is: 59,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,802.12 : 217,174.02 = 39,631.72 : x
  2. Step 2: Convert to fraction form
    144,802.12/217,174.02 = 39,631.72/x
  3. Step 3: Cross multiply
    144,802.12x = 217,174.02 × 39,631.72
  4. Step 4: Simplify right side
    144,802.12x = 8,606,979,951.91
  5. Step 5: Solve for x
    x = 8,606,979,951.91/144,802.12
  6. Step 6: Final answer
    x = 59,439.60

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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.