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Finding the Fourth Proportional to 240,159.64, 360,246.75 and 82,385.81

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Solution

The fourth proportional to 240,159.64, 360,246.75 and 82,385.81 is: 123,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,159.64 : 360,246.75 = 82,385.81 : x
  2. Step 2: Convert to fraction form
    240,159.64/360,246.75 = 82,385.81/x
  3. Step 3: Cross multiply
    240,159.64x = 360,246.75 × 82,385.81
  4. Step 4: Simplify right side
    240,159.64x = 29,679,221,199.23
  5. Step 5: Solve for x
    x = 29,679,221,199.23/240,159.64
  6. Step 6: Final answer
    x = 123,581.22

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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.