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Finding the Fourth Proportional to 98,107.38, 147,248.58 and 66,964.50

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Solution

The fourth proportional to 98,107.38, 147,248.58 and 66,964.50 is: 100,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,107.38 : 147,248.58 = 66,964.50 : x
  2. Step 2: Convert to fraction form
    98,107.38/147,248.58 = 66,964.50/x
  3. Step 3: Cross multiply
    98,107.38x = 147,248.58 × 66,964.50
  4. Step 4: Simplify right side
    98,107.38x = 9,860,427,535.41
  5. Step 5: Solve for x
    x = 9,860,427,535.41/98,107.38
  6. Step 6: Final answer
    x = 100,506.48

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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.