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Finding the Fourth Proportional to 85,862.98, 128,703.56 and 28,882.64

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Solution

The fourth proportional to 85,862.98, 128,703.56 and 28,882.64 is: 43,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,862.98 : 128,703.56 = 28,882.64 : x
  2. Step 2: Convert to fraction form
    85,862.98/128,703.56 = 28,882.64/x
  3. Step 3: Cross multiply
    85,862.98x = 128,703.56 × 28,882.64
  4. Step 4: Simplify right side
    85,862.98x = 3,717,298,590.20
  5. Step 5: Solve for x
    x = 3,717,298,590.20/85,862.98
  6. Step 6: Final answer
    x = 43,293.38

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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.