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Finding the Fourth Proportional to 77,062.77, 115,601.85 and 20,903.81

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Solution

The fourth proportional to 77,062.77, 115,601.85 and 20,903.81 is: 31,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062.77 : 115,601.85 = 20,903.81 : x
  2. Step 2: Convert to fraction form
    77,062.77/115,601.85 = 20,903.81/x
  3. Step 3: Cross multiply
    77,062.77x = 115,601.85 × 20,903.81
  4. Step 4: Simplify right side
    77,062.77x = 2,416,518,530.04
  5. Step 5: Solve for x
    x = 2,416,518,530.04/77,062.77
  6. Step 6: Final answer
    x = 31,357.79

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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.