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Finding the Fourth Proportional to 122,971.32, 169,700.99 and 69,257.25

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Solution

The fourth proportional to 122,971.32, 169,700.99 and 69,257.25 is: 95,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,971.32 : 169,700.99 = 69,257.25 : x
  2. Step 2: Convert to fraction form
    122,971.32/169,700.99 = 69,257.25/x
  3. Step 3: Cross multiply
    122,971.32x = 169,700.99 × 69,257.25
  4. Step 4: Simplify right side
    122,971.32x = 11,753,023,543.39
  5. Step 5: Solve for x
    x = 11,753,023,543.39/122,971.32
  6. Step 6: Final answer
    x = 95,575.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.