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Finding the Fourth Proportional to 107,815.20, 161,701.20 and 51,655.20

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Solution

The fourth proportional to 107,815.20, 161,701.20 and 51,655.20 is: 77,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,815.20 : 161,701.20 = 51,655.20 : x
  2. Step 2: Convert to fraction form
    107,815.20/161,701.20 = 51,655.20/x
  3. Step 3: Cross multiply
    107,815.20x = 161,701.20 × 51,655.20
  4. Step 4: Simplify right side
    107,815.20x = 8,352,707,826.24
  5. Step 5: Solve for x
    x = 8,352,707,826.24/107,815.20
  6. Step 6: Final answer
    x = 77,472.45

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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.