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Finding the Fourth Proportional to 157,297.98, 217,070.10 and 85,677.78

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Solution

The fourth proportional to 157,297.98, 217,070.10 and 85,677.78 is: 118,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,297.98 : 217,070.10 = 85,677.78 : x
  2. Step 2: Convert to fraction form
    157,297.98/217,070.10 = 85,677.78/x
  3. Step 3: Cross multiply
    157,297.98x = 217,070.10 × 85,677.78
  4. Step 4: Simplify right side
    157,297.98x = 18,598,084,272.38
  5. Step 5: Solve for x
    x = 18,598,084,272.38/157,297.98
  6. Step 6: Final answer
    x = 118,234.73

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1.5x scale

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.