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Finding the Fourth Proportional to 76,861.80, 115,271.10 and 24,287.40

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Solution

The fourth proportional to 76,861.80, 115,271.10 and 24,287.40 is: 36,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,861.80 : 115,271.10 = 24,287.40 : x
  2. Step 2: Convert to fraction form
    76,861.80/115,271.10 = 24,287.40/x
  3. Step 3: Cross multiply
    76,861.80x = 115,271.10 × 24,287.40
  4. Step 4: Simplify right side
    76,861.80x = 2,799,635,314.14
  5. Step 5: Solve for x
    x = 2,799,635,314.14/76,861.80
  6. Step 6: Final answer
    x = 36,424.27

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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.