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Finding the Fourth Proportional to 55,176.80, 82,862.40 and 53,427.20

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Solution

The fourth proportional to 55,176.80, 82,862.40 and 53,427.20 is: 80,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176.80 : 82,862.40 = 53,427.20 : x
  2. Step 2: Convert to fraction form
    55,176.80/82,862.40 = 53,427.20/x
  3. Step 3: Cross multiply
    55,176.80x = 82,862.40 × 53,427.20
  4. Step 4: Simplify right side
    55,176.80x = 4,427,106,017.28
  5. Step 5: Solve for x
    x = 4,427,106,017.28/55,176.80
  6. Step 6: Final answer
    x = 80,234.92

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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.