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Finding the Fourth Proportional to 115,424.30, 173,136.45 and 65,657.90

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Solution

The fourth proportional to 115,424.30, 173,136.45 and 65,657.90 is: 98,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,424.30 : 173,136.45 = 65,657.90 : x
  2. Step 2: Convert to fraction form
    115,424.30/173,136.45 = 65,657.90/x
  3. Step 3: Cross multiply
    115,424.30x = 173,136.45 × 65,657.90
  4. Step 4: Simplify right side
    115,424.30x = 11,367,775,720.46
  5. Step 5: Solve for x
    x = 11,367,775,720.46/115,424.30
  6. Step 6: Final answer
    x = 98,486.85

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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.