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Finding the Fourth Proportional to 56,987.84, 85,462.32 and 21,939.68

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Solution

The fourth proportional to 56,987.84, 85,462.32 and 21,939.68 is: 32,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,987.84 : 85,462.32 = 21,939.68 : x
  2. Step 2: Convert to fraction form
    56,987.84/85,462.32 = 21,939.68/x
  3. Step 3: Cross multiply
    56,987.84x = 85,462.32 × 21,939.68
  4. Step 4: Simplify right side
    56,987.84x = 1,875,015,952.86
  5. Step 5: Solve for x
    x = 1,875,015,952.86/56,987.84
  6. Step 6: Final answer
    x = 32,902.04

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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.