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Finding the Fourth Proportional to 83,905.05, 115,762.85 and 47,600.50

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Solution

The fourth proportional to 83,905.05, 115,762.85 and 47,600.50 is: 65,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,905.05 : 115,762.85 = 47,600.50 : x
  2. Step 2: Convert to fraction form
    83,905.05/115,762.85 = 47,600.50/x
  3. Step 3: Cross multiply
    83,905.05x = 115,762.85 × 47,600.50
  4. Step 4: Simplify right side
    83,905.05x = 5,510,368,962.61
  5. Step 5: Solve for x
    x = 5,510,368,962.61/83,905.05
  6. Step 6: Final answer
    x = 65,673.87

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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.