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Finding the Fourth Proportional to 85,823.42, 128,750.00 and 28,891.91

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Solution

The fourth proportional to 85,823.42, 128,750.00 and 28,891.91 is: 43,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823.42 : 128,750.00 = 28,891.91 : x
  2. Step 2: Convert to fraction form
    85,823.42/128,750.00 = 28,891.91/x
  3. Step 3: Cross multiply
    85,823.42x = 128,750.00 × 28,891.91
  4. Step 4: Simplify right side
    85,823.42x = 3,719,832,624.29
  5. Step 5: Solve for x
    x = 3,719,832,624.29/85,823.42
  6. Step 6: Final answer
    x = 43,342.86

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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.