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Finding the Fourth Proportional to 253,221.90, 349,484.13 and 157,759.35

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Solution

The fourth proportional to 253,221.90, 349,484.13 and 157,759.35 is: 217,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,221.90 : 349,484.13 = 157,759.35 : x
  2. Step 2: Convert to fraction form
    253,221.90/349,484.13 = 157,759.35/x
  3. Step 3: Cross multiply
    253,221.90x = 349,484.13 × 157,759.35
  4. Step 4: Simplify right side
    253,221.90x = 55,134,389,184.12
  5. Step 5: Solve for x
    x = 55,134,389,184.12/253,221.90
  6. Step 6: Final answer
    x = 217,731.52

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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.