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Finding the Fourth Proportional to 149,565.40, 206,404.86 and 85,915.96

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Solution

The fourth proportional to 149,565.40, 206,404.86 and 85,915.96 is: 118,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,565.40 : 206,404.86 = 85,915.96 : x
  2. Step 2: Convert to fraction form
    149,565.40/206,404.86 = 85,915.96/x
  3. Step 3: Cross multiply
    149,565.40x = 206,404.86 × 85,915.96
  4. Step 4: Simplify right side
    149,565.40x = 17,733,471,695.57
  5. Step 5: Solve for x
    x = 17,733,471,695.57/149,565.40
  6. Step 6: Final answer
    x = 118,566.67

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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.