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Finding the Fourth Proportional to 56,489.52, 77,955.63 and 31,339.02

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Solution

The fourth proportional to 56,489.52, 77,955.63 and 31,339.02 is: 43,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.52 : 77,955.63 = 31,339.02 : x
  2. Step 2: Convert to fraction form
    56,489.52/77,955.63 = 31,339.02/x
  3. Step 3: Cross multiply
    56,489.52x = 77,955.63 × 31,339.02
  4. Step 4: Simplify right side
    56,489.52x = 2,443,053,047.68
  5. Step 5: Solve for x
    x = 2,443,053,047.68/56,489.52
  6. Step 6: Final answer
    x = 43,247.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.