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Finding the Fourth Proportional to 84,642.60, 126,996.30 and 37,861.86

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Solution

The fourth proportional to 84,642.60, 126,996.30 and 37,861.86 is: 56,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.60 : 126,996.30 = 37,861.86 : x
  2. Step 2: Convert to fraction form
    84,642.60/126,996.30 = 37,861.86/x
  3. Step 3: Cross multiply
    84,642.60x = 126,996.30 × 37,861.86
  4. Step 4: Simplify right side
    84,642.60x = 4,808,316,131.12
  5. Step 5: Solve for x
    x = 4,808,316,131.12/84,642.60
  6. Step 6: Final answer
    x = 56,807.28

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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.