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Finding the Fourth Proportional to 76,804.38, 115,258.44 and 26,884.86

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Solution

The fourth proportional to 76,804.38, 115,258.44 and 26,884.86 is: 40,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804.38 : 115,258.44 = 26,884.86 : x
  2. Step 2: Convert to fraction form
    76,804.38/115,258.44 = 26,884.86/x
  3. Step 3: Cross multiply
    76,804.38x = 115,258.44 × 26,884.86
  4. Step 4: Simplify right side
    76,804.38x = 3,098,707,023.22
  5. Step 5: Solve for x
    x = 3,098,707,023.22/76,804.38
  6. Step 6: Final answer
    x = 40,345.45

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1.5x scale

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.