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Finding the Fourth Proportional to 55,218.90, 82,829.07 and 15,777.30

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Solution

The fourth proportional to 55,218.90, 82,829.07 and 15,777.30 is: 23,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218.90 : 82,829.07 = 15,777.30 : x
  2. Step 2: Convert to fraction form
    55,218.90/82,829.07 = 15,777.30/x
  3. Step 3: Cross multiply
    55,218.90x = 82,829.07 × 15,777.30
  4. Step 4: Simplify right side
    55,218.90x = 1,306,819,086.11
  5. Step 5: Solve for x
    x = 1,306,819,086.11/55,218.90
  6. Step 6: Final answer
    x = 23,666.16

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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.