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Finding the Fourth Proportional to 78,697.86, 107,992.07 and 71,569.86

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Solution

The fourth proportional to 78,697.86, 107,992.07 and 71,569.86 is: 98,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,697.86 : 107,992.07 = 71,569.86 : x
  2. Step 2: Convert to fraction form
    78,697.86/107,992.07 = 71,569.86/x
  3. Step 3: Cross multiply
    78,697.86x = 107,992.07 × 71,569.86
  4. Step 4: Simplify right side
    78,697.86x = 7,728,976,973.16
  5. Step 5: Solve for x
    x = 7,728,976,973.16/78,697.86
  6. Step 6: Final answer
    x = 98,210.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.