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Finding the Fourth Proportional to 85,112.76, 117,459.24 and 47,387

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Solution

The fourth proportional to 85,112.76, 117,459.24 and 47,387 is: 65,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112.76 : 117,459.24 = 47,387 : x
  2. Step 2: Convert to fraction form
    85,112.76/117,459.24 = 47,387/x
  3. Step 3: Cross multiply
    85,112.76x = 117,459.24 × 47,387
  4. Step 4: Simplify right side
    85,112.76x = 5,566,041,005.88
  5. Step 5: Solve for x
    x = 5,566,041,005.88/85,112.76
  6. Step 6: Final answer
    x = 65,396.08

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1.5x scale

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.