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Finding the Fourth Proportional to 157,220.38, 216,958.46 and 85,598.76

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Solution

The fourth proportional to 157,220.38, 216,958.46 and 85,598.76 is: 118,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,220.38 : 216,958.46 = 85,598.76 : x
  2. Step 2: Convert to fraction form
    157,220.38/216,958.46 = 85,598.76/x
  3. Step 3: Cross multiply
    157,220.38x = 216,958.46 × 85,598.76
  4. Step 4: Simplify right side
    157,220.38x = 18,571,375,147.51
  5. Step 5: Solve for x
    x = 18,571,375,147.51/157,220.38
  6. Step 6: Final answer
    x = 118,123.20

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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.