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Finding the Fourth Proportional to 83,620.50, 115,410.87 and 47,812.02

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Solution

The fourth proportional to 83,620.50, 115,410.87 and 47,812.02 is: 65,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,620.50 : 115,410.87 = 47,812.02 : x
  2. Step 2: Convert to fraction form
    83,620.50/115,410.87 = 47,812.02/x
  3. Step 3: Cross multiply
    83,620.50x = 115,410.87 × 47,812.02
  4. Step 4: Simplify right side
    83,620.50x = 5,518,026,824.66
  5. Step 5: Solve for x
    x = 5,518,026,824.66/83,620.50
  6. Step 6: Final answer
    x = 65,988.92

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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.