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Finding the Fourth Proportional to 253,574.48, 349,938.15 and 138,857.96

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Solution

The fourth proportional to 253,574.48, 349,938.15 and 138,857.96 is: 191,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,574.48 : 349,938.15 = 138,857.96 : x
  2. Step 2: Convert to fraction form
    253,574.48/349,938.15 = 138,857.96/x
  3. Step 3: Cross multiply
    253,574.48x = 349,938.15 × 138,857.96
  4. Step 4: Simplify right side
    253,574.48x = 48,591,697,635.17
  5. Step 5: Solve for x
    x = 48,591,697,635.17/253,574.48
  6. Step 6: Final answer
    x = 191,626.92

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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.