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Finding the Fourth Proportional to 78,179.86, 107,887.93 and 42,370.75

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Solution

The fourth proportional to 78,179.86, 107,887.93 and 42,370.75 is: 58,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179.86 : 107,887.93 = 42,370.75 : x
  2. Step 2: Convert to fraction form
    78,179.86/107,887.93 = 42,370.75/x
  3. Step 3: Cross multiply
    78,179.86x = 107,887.93 × 42,370.75
  4. Step 4: Simplify right side
    78,179.86x = 4,571,292,510.05
  5. Step 5: Solve for x
    x = 4,571,292,510.05/78,179.86
  6. Step 6: Final answer
    x = 58,471.48

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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.