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Finding the Fourth Proportional to 153,694.85, 212,098.48 and 85,711.91

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Solution

The fourth proportional to 153,694.85, 212,098.48 and 85,711.91 is: 118,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,694.85 : 212,098.48 = 85,711.91 : x
  2. Step 2: Convert to fraction form
    153,694.85/212,098.48 = 85,711.91/x
  3. Step 3: Cross multiply
    153,694.85x = 212,098.48 × 85,711.91
  4. Step 4: Simplify right side
    153,694.85x = 18,179,365,036.25
  5. Step 5: Solve for x
    x = 18,179,365,036.25/153,694.85
  6. Step 6: Final answer
    x = 118,282.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.