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Finding the Fourth Proportional to 98,572.65, 147,865.12 and 66,969.13

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Solution

The fourth proportional to 98,572.65, 147,865.12 and 66,969.13 is: 100,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,572.65 : 147,865.12 = 66,969.13 : x
  2. Step 2: Convert to fraction form
    98,572.65/147,865.12 = 66,969.13/x
  3. Step 3: Cross multiply
    98,572.65x = 147,865.12 × 66,969.13
  4. Step 4: Simplify right side
    98,572.65x = 9,902,398,372.26
  5. Step 5: Solve for x
    x = 9,902,398,372.26/98,572.65
  6. Step 6: Final answer
    x = 100,457.87

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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.