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Finding the Fourth Proportional to 107,814.20, 161,699.70 and 51,654.20

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Solution

The fourth proportional to 107,814.20, 161,699.70 and 51,654.20 is: 77,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,814.20 : 161,699.70 = 51,654.20 : x
  2. Step 2: Convert to fraction form
    107,814.20/161,699.70 = 51,654.20/x
  3. Step 3: Cross multiply
    107,814.20x = 161,699.70 × 51,654.20
  4. Step 4: Simplify right side
    107,814.20x = 8,352,468,643.74
  5. Step 5: Solve for x
    x = 8,352,468,643.74/107,814.20
  6. Step 6: Final answer
    x = 77,470.95

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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.