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Finding the Fourth Proportional to 77,424.60, 115,991.10 and 39,856.80

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Solution

The fourth proportional to 77,424.60, 115,991.10 and 39,856.80 is: 59,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.60 : 115,991.10 = 39,856.80 : x
  2. Step 2: Convert to fraction form
    77,424.60/115,991.10 = 39,856.80/x
  3. Step 3: Cross multiply
    77,424.60x = 115,991.10 × 39,856.80
  4. Step 4: Simplify right side
    77,424.60x = 4,623,034,074.48
  5. Step 5: Solve for x
    x = 4,623,034,074.48/77,424.60
  6. Step 6: Final answer
    x = 59,710.14

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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.