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Finding the Fourth Proportional to 205,902.30, 308,853.45 and 87,543.90

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Solution

The fourth proportional to 205,902.30, 308,853.45 and 87,543.90 is: 131,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,902.30 : 308,853.45 = 87,543.90 : x
  2. Step 2: Convert to fraction form
    205,902.30/308,853.45 = 87,543.90/x
  3. Step 3: Cross multiply
    205,902.30x = 308,853.45 × 87,543.90
  4. Step 4: Simplify right side
    205,902.30x = 27,038,235,541.46
  5. Step 5: Solve for x
    x = 27,038,235,541.46/205,902.30
  6. Step 6: Final answer
    x = 131,315.85

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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.