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Finding the Fourth Proportional to 265,679.95, 398,582.19 and 105,765.65

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Solution

The fourth proportional to 265,679.95, 398,582.19 and 105,765.65 is: 158,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,679.95 : 398,582.19 = 105,765.65 : x
  2. Step 2: Convert to fraction form
    265,679.95/398,582.19 = 105,765.65/x
  3. Step 3: Cross multiply
    265,679.95x = 398,582.19 × 105,765.65
  4. Step 4: Simplify right side
    265,679.95x = 42,156,304,203.01
  5. Step 5: Solve for x
    x = 42,156,304,203.01/265,679.95
  6. Step 6: Final answer
    x = 158,673.26

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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.