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Finding the Fourth Proportional to 144,540.72, 216,586.32 and 100,254

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Solution

The fourth proportional to 144,540.72, 216,586.32 and 100,254 is: 150,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,540.72 : 216,586.32 = 100,254 : x
  2. Step 2: Convert to fraction form
    144,540.72/216,586.32 = 100,254/x
  3. Step 3: Cross multiply
    144,540.72x = 216,586.32 × 100,254
  4. Step 4: Simplify right side
    144,540.72x = 21,713,644,925.28
  5. Step 5: Solve for x
    x = 21,713,644,925.28/144,540.72
  6. Step 6: Final answer
    x = 150,225.11

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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.