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Finding the Fourth Proportional to 81,102.64, 111,913.65 and 45,291.88

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Solution

The fourth proportional to 81,102.64, 111,913.65 and 45,291.88 is: 62,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102.64 : 111,913.65 = 45,291.88 : x
  2. Step 2: Convert to fraction form
    81,102.64/111,913.65 = 45,291.88/x
  3. Step 3: Cross multiply
    81,102.64x = 111,913.65 × 45,291.88
  4. Step 4: Simplify right side
    81,102.64x = 5,068,780,060.81
  5. Step 5: Solve for x
    x = 5,068,780,060.81/81,102.64
  6. Step 6: Final answer
    x = 62,498.33

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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.