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Finding the Fourth Proportional to 55,713.60, 83,764.80 and 54,547.20

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Solution

The fourth proportional to 55,713.60, 83,764.80 and 54,547.20 is: 82,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.60 : 83,764.80 = 54,547.20 : x
  2. Step 2: Convert to fraction form
    55,713.60/83,764.80 = 54,547.20/x
  3. Step 3: Cross multiply
    55,713.60x = 83,764.80 × 54,547.20
  4. Step 4: Simplify right side
    55,713.60x = 4,569,135,298.56
  5. Step 5: Solve for x
    x = 4,569,135,298.56/55,713.60
  6. Step 6: Final answer
    x = 82,011.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.