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Finding the Fourth Proportional to 81,412.74, 112,347.91 and 45,113.88

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Solution

The fourth proportional to 81,412.74, 112,347.91 and 45,113.88 is: 62,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412.74 : 112,347.91 = 45,113.88 : x
  2. Step 2: Convert to fraction form
    81,412.74/112,347.91 = 45,113.88/x
  3. Step 3: Cross multiply
    81,412.74x = 112,347.91 × 45,113.88
  4. Step 4: Simplify right side
    81,412.74x = 5,068,449,975.73
  5. Step 5: Solve for x
    x = 5,068,449,975.73/81,412.74
  6. Step 6: Final answer
    x = 62,256.23

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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.