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Finding the Fourth Proportional to 81,710.98, 112,760.80 and 45,412.25

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Solution

The fourth proportional to 81,710.98, 112,760.80 and 45,412.25 is: 62,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,710.98 : 112,760.80 = 45,412.25 : x
  2. Step 2: Convert to fraction form
    81,710.98/112,760.80 = 45,412.25/x
  3. Step 3: Cross multiply
    81,710.98x = 112,760.80 × 45,412.25
  4. Step 4: Simplify right side
    81,710.98x = 5,120,720,962.47
  5. Step 5: Solve for x
    x = 5,120,720,962.47/81,710.98
  6. Step 6: Final answer
    x = 62,668.70

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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.