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Finding the Fourth Proportional to 56,359, 77,781.09 and 31,208.50

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Solution

The fourth proportional to 56,359, 77,781.09 and 31,208.50 is: 43,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,359 : 77,781.09 = 31,208.50 : x
  2. Step 2: Convert to fraction form
    56,359/77,781.09 = 31,208.50/x
  3. Step 3: Cross multiply
    56,359x = 77,781.09 × 31,208.50
  4. Step 4: Simplify right side
    56,359x = 2,427,431,147.27
  5. Step 5: Solve for x
    x = 2,427,431,147.27/56,359
  6. Step 6: Final answer
    x = 43,070.87

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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.