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Finding the Fourth Proportional to 172,314.87, 258,294.23 and 65,670.20

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Solution

The fourth proportional to 172,314.87, 258,294.23 and 65,670.20 is: 98,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,314.87 : 258,294.23 = 65,670.20 : x
  2. Step 2: Convert to fraction form
    172,314.87/258,294.23 = 65,670.20/x
  3. Step 3: Cross multiply
    172,314.87x = 258,294.23 × 65,670.20
  4. Step 4: Simplify right side
    172,314.87x = 16,962,233,742.95
  5. Step 5: Solve for x
    x = 16,962,233,742.95/172,314.87
  6. Step 6: Final answer
    x = 98,437.43

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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.