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Finding the Fourth Proportional to 77,017.92, 115,416.72 and 34,793.16

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Solution

The fourth proportional to 77,017.92, 115,416.72 and 34,793.16 is: 52,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,017.92 : 115,416.72 = 34,793.16 : x
  2. Step 2: Convert to fraction form
    77,017.92/115,416.72 = 34,793.16/x
  3. Step 3: Cross multiply
    77,017.92x = 115,416.72 × 34,793.16
  4. Step 4: Simplify right side
    77,017.92x = 4,015,712,405.64
  5. Step 5: Solve for x
    x = 4,015,712,405.64/77,017.92
  6. Step 6: Final answer
    x = 52,139.97

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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.