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Finding the Fourth Proportional to 253,061.22, 349,213.68 and 138,337.74

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Solution

The fourth proportional to 253,061.22, 349,213.68 and 138,337.74 is: 190,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,061.22 : 349,213.68 = 138,337.74 : x
  2. Step 2: Convert to fraction form
    253,061.22/349,213.68 = 138,337.74/x
  3. Step 3: Cross multiply
    253,061.22x = 349,213.68 × 138,337.74
  4. Step 4: Simplify right side
    253,061.22x = 48,309,431,268.28
  5. Step 5: Solve for x
    x = 48,309,431,268.28/253,061.22
  6. Step 6: Final answer
    x = 190,900.18

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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.