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Finding the Fourth Proportional to 77,110.20, 115,665.30 and 47,561.40

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Solution

The fourth proportional to 77,110.20, 115,665.30 and 47,561.40 is: 71,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110.20 : 115,665.30 = 47,561.40 : x
  2. Step 2: Convert to fraction form
    77,110.20/115,665.30 = 47,561.40/x
  3. Step 3: Cross multiply
    77,110.20x = 115,665.30 × 47,561.40
  4. Step 4: Simplify right side
    77,110.20x = 5,501,203,599.42
  5. Step 5: Solve for x
    x = 5,501,203,599.42/77,110.20
  6. Step 6: Final answer
    x = 71,342.10

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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.