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Finding the Fourth Proportional to 127,878.48, 191,882.52 and 86,238

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Solution

The fourth proportional to 127,878.48, 191,882.52 and 86,238 is: 129,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878.48 : 191,882.52 = 86,238 : x
  2. Step 2: Convert to fraction form
    127,878.48/191,882.52 = 86,238/x
  3. Step 3: Cross multiply
    127,878.48x = 191,882.52 × 86,238
  4. Step 4: Simplify right side
    127,878.48x = 16,547,564,759.76
  5. Step 5: Solve for x
    x = 16,547,564,759.76/127,878.48
  6. Step 6: Final answer
    x = 129,400.70

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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.