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Finding the Fourth Proportional to 127,710.93, 191,565.86 and 38,964.14

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Solution

The fourth proportional to 127,710.93, 191,565.86 and 38,964.14 is: 58,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710.93 : 191,565.86 = 38,964.14 : x
  2. Step 2: Convert to fraction form
    127,710.93/191,565.86 = 38,964.14/x
  3. Step 3: Cross multiply
    127,710.93x = 191,565.86 × 38,964.14
  4. Step 4: Simplify right side
    127,710.93x = 7,464,198,988.26
  5. Step 5: Solve for x
    x = 7,464,198,988.26/127,710.93
  6. Step 6: Final answer
    x = 58,446.05

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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.