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Finding the Fourth Proportional to 96,997.90, 145,606.20 and 74,909.20

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Solution

The fourth proportional to 96,997.90, 145,606.20 and 74,909.20 is: 112,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,997.90 : 145,606.20 = 74,909.20 : x
  2. Step 2: Convert to fraction form
    96,997.90/145,606.20 = 74,909.20/x
  3. Step 3: Cross multiply
    96,997.90x = 145,606.20 × 74,909.20
  4. Step 4: Simplify right side
    96,997.90x = 10,907,243,957.04
  5. Step 5: Solve for x
    x = 10,907,243,957.04/96,997.90
  6. Step 6: Final answer
    x = 112,448.25

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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.