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Finding the Fourth Proportional to 96,702, 145,275.36 and 68,690.16

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Solution

The fourth proportional to 96,702, 145,275.36 and 68,690.16 is: 103,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,702 : 145,275.36 = 68,690.16 : x
  2. Step 2: Convert to fraction form
    96,702/145,275.36 = 68,690.16/x
  3. Step 3: Cross multiply
    96,702x = 145,275.36 × 68,690.16
  4. Step 4: Simplify right side
    96,702x = 9,978,987,722.46
  5. Step 5: Solve for x
    x = 9,978,987,722.46/96,702
  6. Step 6: Final answer
    x = 103,193.19

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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.