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Finding the Fourth Proportional to 148,702.92, 205,204.50 and 85,039.08

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Solution

The fourth proportional to 148,702.92, 205,204.50 and 85,039.08 is: 117,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702.92 : 205,204.50 = 85,039.08 : x
  2. Step 2: Convert to fraction form
    148,702.92/205,204.50 = 85,039.08/x
  3. Step 3: Cross multiply
    148,702.92x = 205,204.50 × 85,039.08
  4. Step 4: Simplify right side
    148,702.92x = 17,450,401,891.86
  5. Step 5: Solve for x
    x = 17,450,401,891.86/148,702.92
  6. Step 6: Final answer
    x = 117,350.77

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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.