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Finding the Fourth Proportional to 76,697.86, 115,074.47 and 26,785.32

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Solution

The fourth proportional to 76,697.86, 115,074.47 and 26,785.32 is: 40,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,697.86 : 115,074.47 = 26,785.32 : x
  2. Step 2: Convert to fraction form
    76,697.86/115,074.47 = 26,785.32/x
  3. Step 3: Cross multiply
    76,697.86x = 115,074.47 × 26,785.32
  4. Step 4: Simplify right side
    76,697.86x = 3,082,306,569.74
  5. Step 5: Solve for x
    x = 3,082,306,569.74/76,697.86
  6. Step 6: Final answer
    x = 40,187.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.