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Finding the Fourth Proportional to 140,431.30, 210,209.55 and 101,065.30

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Solution

The fourth proportional to 140,431.30, 210,209.55 and 101,065.30 is: 151,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,431.30 : 210,209.55 = 101,065.30 : x
  2. Step 2: Convert to fraction form
    140,431.30/210,209.55 = 101,065.30/x
  3. Step 3: Cross multiply
    140,431.30x = 210,209.55 × 101,065.30
  4. Step 4: Simplify right side
    140,431.30x = 21,244,891,233.62
  5. Step 5: Solve for x
    x = 21,244,891,233.62/140,431.30
  6. Step 6: Final answer
    x = 151,283.16

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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.