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Finding the Fourth Proportional to 157,409.97, 217,219.43 and 85,788.46

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Solution

The fourth proportional to 157,409.97, 217,219.43 and 85,788.46 is: 118,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,409.97 : 217,219.43 = 85,788.46 : x
  2. Step 2: Convert to fraction form
    157,409.97/217,219.43 = 85,788.46/x
  3. Step 3: Cross multiply
    157,409.97x = 217,219.43 × 85,788.46
  4. Step 4: Simplify right side
    157,409.97x = 18,634,920,381.78
  5. Step 5: Solve for x
    x = 18,634,920,381.78/157,409.97
  6. Step 6: Final answer
    x = 118,384.63

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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.