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Finding the Fourth Proportional to 83,747.20, 125,620.80 and 77,842.30

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Solution

The fourth proportional to 83,747.20, 125,620.80 and 77,842.30 is: 116,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,747.20 : 125,620.80 = 77,842.30 : x
  2. Step 2: Convert to fraction form
    83,747.20/125,620.80 = 77,842.30/x
  3. Step 3: Cross multiply
    83,747.20x = 125,620.80 × 77,842.30
  4. Step 4: Simplify right side
    83,747.20x = 9,778,611,999.84
  5. Step 5: Solve for x
    x = 9,778,611,999.84/83,747.20
  6. Step 6: Final answer
    x = 116,763.45

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1.5x scale

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.