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Finding the Fourth Proportional to 149,862.74, 206,808.17 and 81,878.25

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Solution

The fourth proportional to 149,862.74, 206,808.17 and 81,878.25 is: 112,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,862.74 : 206,808.17 = 81,878.25 : x
  2. Step 2: Convert to fraction form
    149,862.74/206,808.17 = 81,878.25/x
  3. Step 3: Cross multiply
    149,862.74x = 206,808.17 × 81,878.25
  4. Step 4: Simplify right side
    149,862.74x = 16,933,091,264.16
  5. Step 5: Solve for x
    x = 16,933,091,264.16/149,862.74
  6. Step 6: Final answer
    x = 112,990.67

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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.