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Finding the Fourth Proportional to 157,264.48, 217,029.12 and 85,647.52

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Solution

The fourth proportional to 157,264.48, 217,029.12 and 85,647.52 is: 118,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,264.48 : 217,029.12 = 85,647.52 : x
  2. Step 2: Convert to fraction form
    157,264.48/217,029.12 = 85,647.52/x
  3. Step 3: Cross multiply
    157,264.48x = 217,029.12 × 85,647.52
  4. Step 4: Simplify right side
    157,264.48x = 18,588,005,895.78
  5. Step 5: Solve for x
    x = 18,588,005,895.78/157,264.48
  6. Step 6: Final answer
    x = 118,195.83

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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.