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Finding the Fourth Proportional to 81,707.91, 112,739.43 and 47,700.96

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Solution

The fourth proportional to 81,707.91, 112,739.43 and 47,700.96 is: 65,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,707.91 : 112,739.43 = 47,700.96 : x
  2. Step 2: Convert to fraction form
    81,707.91/112,739.43 = 47,700.96/x
  3. Step 3: Cross multiply
    81,707.91x = 112,739.43 × 47,700.96
  4. Step 4: Simplify right side
    81,707.91x = 5,377,779,040.85
  5. Step 5: Solve for x
    x = 5,377,779,040.85/81,707.91
  6. Step 6: Final answer
    x = 65,817.12

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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.