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Finding the Fourth Proportional to 157,218.17, 216,958.30 and 85,596.95

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Solution

The fourth proportional to 157,218.17, 216,958.30 and 85,596.95 is: 118,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,218.17 : 216,958.30 = 85,596.95 : x
  2. Step 2: Convert to fraction form
    157,218.17/216,958.30 = 85,596.95/x
  3. Step 3: Cross multiply
    157,218.17x = 216,958.30 × 85,596.95
  4. Step 4: Simplify right side
    157,218.17x = 18,570,969,085.59
  5. Step 5: Solve for x
    x = 18,570,969,085.59/157,218.17
  6. Step 6: Final answer
    x = 118,122.29

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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.