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Finding the Fourth Proportional to 77,111.20, 115,666.80 and 35,639.20

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Solution

The fourth proportional to 77,111.20, 115,666.80 and 35,639.20 is: 53,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,111.20 : 115,666.80 = 35,639.20 : x
  2. Step 2: Convert to fraction form
    77,111.20/115,666.80 = 35,639.20/x
  3. Step 3: Cross multiply
    77,111.20x = 115,666.80 × 35,639.20
  4. Step 4: Simplify right side
    77,111.20x = 4,122,272,218.56
  5. Step 5: Solve for x
    x = 4,122,272,218.56/77,111.20
  6. Step 6: Final answer
    x = 53,458.80

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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.