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Finding the Fourth Proportional to 102,000.10, 153,014.55 and 31,872.10

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Solution

The fourth proportional to 102,000.10, 153,014.55 and 31,872.10 is: 47,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.10 : 153,014.55 = 31,872.10 : x
  2. Step 2: Convert to fraction form
    102,000.10/153,014.55 = 31,872.10/x
  3. Step 3: Cross multiply
    102,000.10x = 153,014.55 × 31,872.10
  4. Step 4: Simplify right side
    102,000.10x = 4,876,895,039.06
  5. Step 5: Solve for x
    x = 4,876,895,039.06/102,000.10
  6. Step 6: Final answer
    x = 47,812.65

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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.