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Finding the Fourth Proportional to 144,731.32, 216,814.38 and 99,744.64

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Solution

The fourth proportional to 144,731.32, 216,814.38 and 99,744.64 is: 149,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,731.32 : 216,814.38 = 99,744.64 : x
  2. Step 2: Convert to fraction form
    144,731.32/216,814.38 = 99,744.64/x
  3. Step 3: Cross multiply
    144,731.32x = 216,814.38 × 99,744.64
  4. Step 4: Simplify right side
    144,731.32x = 21,626,072,279.92
  5. Step 5: Solve for x
    x = 21,626,072,279.92/144,731.32
  6. Step 6: Final answer
    x = 149,422.20

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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.