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Finding the Fourth Proportional to 157,265.78, 235,781.67 and 141,424.34

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Solution

The fourth proportional to 157,265.78, 235,781.67 and 141,424.34 is: 212,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,265.78 : 235,781.67 = 141,424.34 : x
  2. Step 2: Convert to fraction form
    157,265.78/235,781.67 = 141,424.34/x
  3. Step 3: Cross multiply
    157,265.78x = 235,781.67 × 141,424.34
  4. Step 4: Simplify right side
    157,265.78x = 33,345,267,063.85
  5. Step 5: Solve for x
    x = 33,345,267,063.85/157,265.78
  6. Step 6: Final answer
    x = 212,031.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.