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Finding the Fourth Proportional to 253,002.90, 349,305.03 and 157,649.70

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Solution

The fourth proportional to 253,002.90, 349,305.03 and 157,649.70 is: 217,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,002.90 : 349,305.03 = 157,649.70 : x
  2. Step 2: Convert to fraction form
    253,002.90/349,305.03 = 157,649.70/x
  3. Step 3: Cross multiply
    253,002.90x = 349,305.03 × 157,649.70
  4. Step 4: Simplify right side
    253,002.90x = 55,067,833,187.99
  5. Step 5: Solve for x
    x = 55,067,833,187.99/253,002.90
  6. Step 6: Final answer
    x = 217,656.92

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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.