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Finding the Fourth Proportional to 98,721.68, 147,992.92 and 51,281.32

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Solution

The fourth proportional to 98,721.68, 147,992.92 and 51,281.32 is: 76,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,721.68 : 147,992.92 = 51,281.32 : x
  2. Step 2: Convert to fraction form
    98,721.68/147,992.92 = 51,281.32/x
  3. Step 3: Cross multiply
    98,721.68x = 147,992.92 × 51,281.32
  4. Step 4: Simplify right side
    98,721.68x = 7,589,272,288.25
  5. Step 5: Solve for x
    x = 7,589,272,288.25/98,721.68
  6. Step 6: Final answer
    x = 76,875.44

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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.