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Finding the Fourth Proportional to 56,503.86, 77,974.29 and 31,352.82

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Solution

The fourth proportional to 56,503.86, 77,974.29 and 31,352.82 is: 43,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,503.86 : 77,974.29 = 31,352.82 : x
  2. Step 2: Convert to fraction form
    56,503.86/77,974.29 = 31,352.82/x
  3. Step 3: Cross multiply
    56,503.86x = 77,974.29 × 31,352.82
  4. Step 4: Simplify right side
    56,503.86x = 2,444,713,879.00
  5. Step 5: Solve for x
    x = 2,444,713,879.00/56,503.86
  6. Step 6: Final answer
    x = 43,266.32

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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.