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Finding the Fourth Proportional to 148,711.60, 205,218.56 and 85,045.60

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Solution

The fourth proportional to 148,711.60, 205,218.56 and 85,045.60 is: 117,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,711.60 : 205,218.56 = 85,045.60 : x
  2. Step 2: Convert to fraction form
    148,711.60/205,218.56 = 85,045.60/x
  3. Step 3: Cross multiply
    148,711.60x = 205,218.56 × 85,045.60
  4. Step 4: Simplify right side
    148,711.60x = 17,452,935,566.34
  5. Step 5: Solve for x
    x = 17,452,935,566.34/148,711.60
  6. Step 6: Final answer
    x = 117,360.96

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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.