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Finding the Fourth Proportional to 85,859.84, 128,789.12 and 26,695.40

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Solution

The fourth proportional to 85,859.84, 128,789.12 and 26,695.40 is: 40,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,859.84 : 128,789.12 = 26,695.40 : x
  2. Step 2: Convert to fraction form
    85,859.84/128,789.12 = 26,695.40/x
  3. Step 3: Cross multiply
    85,859.84x = 128,789.12 × 26,695.40
  4. Step 4: Simplify right side
    85,859.84x = 3,438,077,074.05
  5. Step 5: Solve for x
    x = 3,438,077,074.05/85,859.84
  6. Step 6: Final answer
    x = 40,042.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.