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Finding the Fourth Proportional to 102,014.65, 153,021.78 and 27,134.88

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Solution

The fourth proportional to 102,014.65, 153,021.78 and 27,134.88 is: 40,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.65 : 153,021.78 = 27,134.88 : x
  2. Step 2: Convert to fraction form
    102,014.65/153,021.78 = 27,134.88/x
  3. Step 3: Cross multiply
    102,014.65x = 153,021.78 × 27,134.88
  4. Step 4: Simplify right side
    102,014.65x = 4,152,226,872.58
  5. Step 5: Solve for x
    x = 4,152,226,872.58/102,014.65
  6. Step 6: Final answer
    x = 40,702.26

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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.