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Finding the Fourth Proportional to 71,158.80, 106,543.80 and 55,477.20

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Solution

The fourth proportional to 71,158.80, 106,543.80 and 55,477.20 is: 83,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.80 : 106,543.80 = 55,477.20 : x
  2. Step 2: Convert to fraction form
    71,158.80/106,543.80 = 55,477.20/x
  3. Step 3: Cross multiply
    71,158.80x = 106,543.80 × 55,477.20
  4. Step 4: Simplify right side
    71,158.80x = 5,910,751,701.36
  5. Step 5: Solve for x
    x = 5,910,751,701.36/71,158.80
  6. Step 6: Final answer
    x = 83,064.24

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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.