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Finding the Fourth Proportional to 98,711.66, 147,977.92 and 51,271.30

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Solution

The fourth proportional to 98,711.66, 147,977.92 and 51,271.30 is: 76,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,711.66 : 147,977.92 = 51,271.30 : x
  2. Step 2: Convert to fraction form
    98,711.66/147,977.92 = 51,271.30/x
  3. Step 3: Cross multiply
    98,711.66x = 147,977.92 × 51,271.30
  4. Step 4: Simplify right side
    98,711.66x = 7,587,020,329.70
  5. Step 5: Solve for x
    x = 7,587,020,329.70/98,711.66
  6. Step 6: Final answer
    x = 76,860.43

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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.