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Finding the Fourth Proportional to 56,887.69, 85,342.52 and 21,824.61

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Solution

The fourth proportional to 56,887.69, 85,342.52 and 21,824.61 is: 32,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,887.69 : 85,342.52 = 21,824.61 : x
  2. Step 2: Convert to fraction form
    56,887.69/85,342.52 = 21,824.61/x
  3. Step 3: Cross multiply
    56,887.69x = 85,342.52 × 21,824.61
  4. Step 4: Simplify right side
    56,887.69x = 1,862,567,215.42
  5. Step 5: Solve for x
    x = 1,862,567,215.42/56,887.69
  6. Step 6: Final answer
    x = 32,741.13

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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.