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Finding the Fourth Proportional to 78,471.90, 108,314.67 and 51,635.10

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Solution

The fourth proportional to 78,471.90, 108,314.67 and 51,635.10 is: 71,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.90 : 108,314.67 = 51,635.10 : x
  2. Step 2: Convert to fraction form
    78,471.90/108,314.67 = 51,635.10/x
  3. Step 3: Cross multiply
    78,471.90x = 108,314.67 × 51,635.10
  4. Step 4: Simplify right side
    78,471.90x = 5,592,838,816.92
  5. Step 5: Solve for x
    x = 5,592,838,816.92/78,471.90
  6. Step 6: Final answer
    x = 71,271.87

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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.