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Finding the Fourth Proportional to 281,139.86, 421,643.55 and 103,550.42

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Solution

The fourth proportional to 281,139.86, 421,643.55 and 103,550.42 is: 155,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,139.86 : 421,643.55 = 103,550.42 : x
  2. Step 2: Convert to fraction form
    281,139.86/421,643.55 = 103,550.42/x
  3. Step 3: Cross multiply
    281,139.86x = 421,643.55 × 103,550.42
  4. Step 4: Simplify right side
    281,139.86x = 43,661,366,692.79
  5. Step 5: Solve for x
    x = 43,661,366,692.79/281,139.86
  6. Step 6: Final answer
    x = 155,301.23

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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.