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Finding the Fourth Proportional to 144,129.84, 216,199.62 and 38,949.72

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Solution

The fourth proportional to 144,129.84, 216,199.62 and 38,949.72 is: 58,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,129.84 : 216,199.62 = 38,949.72 : x
  2. Step 2: Convert to fraction form
    144,129.84/216,199.62 = 38,949.72/x
  3. Step 3: Cross multiply
    144,129.84x = 216,199.62 × 38,949.72
  4. Step 4: Simplify right side
    144,129.84x = 8,420,914,663.11
  5. Step 5: Solve for x
    x = 8,420,914,663.11/144,129.84
  6. Step 6: Final answer
    x = 58,425.89

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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.