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Finding the Fourth Proportional to 98,764.96, 147,802.64 and 80,787.84

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Solution

The fourth proportional to 98,764.96, 147,802.64 and 80,787.84 is: 120,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,764.96 : 147,802.64 = 80,787.84 : x
  2. Step 2: Convert to fraction form
    98,764.96/147,802.64 = 80,787.84/x
  3. Step 3: Cross multiply
    98,764.96x = 147,802.64 × 80,787.84
  4. Step 4: Simplify right side
    98,764.96x = 11,940,656,031.90
  5. Step 5: Solve for x
    x = 11,940,656,031.90/98,764.96
  6. Step 6: Final answer
    x = 120,899.72

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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.