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Finding the Fourth Proportional to 127,931.80, 191,648.28 and 77,887.78

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Solution

The fourth proportional to 127,931.80, 191,648.28 and 77,887.78 is: 116,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,931.80 : 191,648.28 = 77,887.78 : x
  2. Step 2: Convert to fraction form
    127,931.80/191,648.28 = 77,887.78/x
  3. Step 3: Cross multiply
    127,931.80x = 191,648.28 × 77,887.78
  4. Step 4: Simplify right side
    127,931.80x = 14,927,059,070.02
  5. Step 5: Solve for x
    x = 14,927,059,070.02/127,931.80
  6. Step 6: Final answer
    x = 116,679.82

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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.