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Finding the Fourth Proportional to 85,635.90, 128,442.51 and 38,878.02

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Solution

The fourth proportional to 85,635.90, 128,442.51 and 38,878.02 is: 58,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,635.90 : 128,442.51 = 38,878.02 : x
  2. Step 2: Convert to fraction form
    85,635.90/128,442.51 = 38,878.02/x
  3. Step 3: Cross multiply
    85,635.90x = 128,442.51 × 38,878.02
  4. Step 4: Simplify right side
    85,635.90x = 4,993,590,472.63
  5. Step 5: Solve for x
    x = 4,993,590,472.63/85,635.90
  6. Step 6: Final answer
    x = 58,311.88

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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.