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Finding the Fourth Proportional to 144,870.80, 217,565.40 and 140,205.20

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Solution

The fourth proportional to 144,870.80, 217,565.40 and 140,205.20 is: 210,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,870.80 : 217,565.40 = 140,205.20 : x
  2. Step 2: Convert to fraction form
    144,870.80/217,565.40 = 140,205.20/x
  3. Step 3: Cross multiply
    144,870.80x = 217,565.40 × 140,205.20
  4. Step 4: Simplify right side
    144,870.80x = 30,503,800,420.08
  5. Step 5: Solve for x
    x = 30,503,800,420.08/144,870.80
  6. Step 6: Final answer
    x = 210,558.65

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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.