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Finding the Fourth Proportional to 152,956.20, 229,210.20 and 137,161.20

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Solution

The fourth proportional to 152,956.20, 229,210.20 and 137,161.20 is: 205,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,956.20 : 229,210.20 = 137,161.20 : x
  2. Step 2: Convert to fraction form
    152,956.20/229,210.20 = 137,161.20/x
  3. Step 3: Cross multiply
    152,956.20x = 229,210.20 × 137,161.20
  4. Step 4: Simplify right side
    152,956.20x = 31,438,746,084.24
  5. Step 5: Solve for x
    x = 31,438,746,084.24/152,956.20
  6. Step 6: Final answer
    x = 205,540.84

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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.