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Finding the Fourth Proportional to 157,230, 216,974.16 and 85,611.36

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Solution

The fourth proportional to 157,230, 216,974.16 and 85,611.36 is: 118,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,230 : 216,974.16 = 85,611.36 : x
  2. Step 2: Convert to fraction form
    157,230/216,974.16 = 85,611.36/x
  3. Step 3: Cross multiply
    157,230x = 216,974.16 × 85,611.36
  4. Step 4: Simplify right side
    157,230x = 18,575,452,922.46
  5. Step 5: Solve for x
    x = 18,575,452,922.46/157,230
  6. Step 6: Final answer
    x = 118,141.91

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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.