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Finding the Fourth Proportional to 105,319.14, 157,978.68 and 42,167.70

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Solution

The fourth proportional to 105,319.14, 157,978.68 and 42,167.70 is: 63,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,319.14 : 157,978.68 = 42,167.70 : x
  2. Step 2: Convert to fraction form
    105,319.14/157,978.68 = 42,167.70/x
  3. Step 3: Cross multiply
    105,319.14x = 157,978.68 × 42,167.70
  4. Step 4: Simplify right side
    105,319.14x = 6,661,597,584.64
  5. Step 5: Solve for x
    x = 6,661,597,584.64/105,319.14
  6. Step 6: Final answer
    x = 63,251.54

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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.