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Finding the Fourth Proportional to 240,661, 360,991.50 and 65,557

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Solution

The fourth proportional to 240,661, 360,991.50 and 65,557 is: 98,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,661 : 360,991.50 = 65,557 : x
  2. Step 2: Convert to fraction form
    240,661/360,991.50 = 65,557/x
  3. Step 3: Cross multiply
    240,661x = 360,991.50 × 65,557
  4. Step 4: Simplify right side
    240,661x = 23,665,519,765.50
  5. Step 5: Solve for x
    x = 23,665,519,765.50/240,661
  6. Step 6: Final answer
    x = 98,335.50

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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.