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Finding the Fourth Proportional to 154,210.72, 231,158.52 and 87,510

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Solution

The fourth proportional to 154,210.72, 231,158.52 and 87,510 is: 131,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,210.72 : 231,158.52 = 87,510 : x
  2. Step 2: Convert to fraction form
    154,210.72/231,158.52 = 87,510/x
  3. Step 3: Cross multiply
    154,210.72x = 231,158.52 × 87,510
  4. Step 4: Simplify right side
    154,210.72x = 20,228,682,085.20
  5. Step 5: Solve for x
    x = 20,228,682,085.20/154,210.72
  6. Step 6: Final answer
    x = 131,175.59

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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.