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Finding the Fourth Proportional to 81,714.64, 112,771.02 and 61,535.92

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Solution

The fourth proportional to 81,714.64, 112,771.02 and 61,535.92 is: 84,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.64 : 112,771.02 = 61,535.92 : x
  2. Step 2: Convert to fraction form
    81,714.64/112,771.02 = 61,535.92/x
  3. Step 3: Cross multiply
    81,714.64x = 112,771.02 × 61,535.92
  4. Step 4: Simplify right side
    81,714.64x = 6,939,468,465.04
  5. Step 5: Solve for x
    x = 6,939,468,465.04/81,714.64
  6. Step 6: Final answer
    x = 84,923.20

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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.