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Finding the Fourth Proportional to 55,879.86, 77,114.03 and 31,350.71

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Solution

The fourth proportional to 55,879.86, 77,114.03 and 31,350.71 is: 43,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,879.86 : 77,114.03 = 31,350.71 : x
  2. Step 2: Convert to fraction form
    55,879.86/77,114.03 = 31,350.71/x
  3. Step 3: Cross multiply
    55,879.86x = 77,114.03 × 31,350.71
  4. Step 4: Simplify right side
    55,879.86x = 2,417,579,627.49
  5. Step 5: Solve for x
    x = 2,417,579,627.49/55,879.86
  6. Step 6: Final answer
    x = 43,263.88

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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.