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Finding the Fourth Proportional to 286,116.17, 429,321.87 and 117,760.91

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Solution

The fourth proportional to 286,116.17, 429,321.87 and 117,760.91 is: 176,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,116.17 : 429,321.87 = 117,760.91 : x
  2. Step 2: Convert to fraction form
    286,116.17/429,321.87 = 117,760.91/x
  3. Step 3: Cross multiply
    286,116.17x = 429,321.87 × 117,760.91
  4. Step 4: Simplify right side
    286,116.17x = 50,557,331,947.49
  5. Step 5: Solve for x
    x = 50,557,331,947.49/286,116.17
  6. Step 6: Final answer
    x = 176,702.12

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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.