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Finding the Fourth Proportional to 437,425.76, 656,138.66 and 105,001.76

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Solution

The fourth proportional to 437,425.76, 656,138.66 and 105,001.76 is: 157,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,425.76 : 656,138.66 = 105,001.76 : x
  2. Step 2: Convert to fraction form
    437,425.76/656,138.66 = 105,001.76/x
  3. Step 3: Cross multiply
    437,425.76x = 656,138.66 × 105,001.76
  4. Step 4: Simplify right side
    437,425.76x = 68,895,714,104.04
  5. Step 5: Solve for x
    x = 68,895,714,104.04/437,425.76
  6. Step 6: Final answer
    x = 157,502.64

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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.