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Finding the Fourth Proportional to 152,039.64, 227,808.97 and 52,145

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Solution

The fourth proportional to 152,039.64, 227,808.97 and 52,145 is: 78,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,039.64 : 227,808.97 = 52,145 : x
  2. Step 2: Convert to fraction form
    152,039.64/227,808.97 = 52,145/x
  3. Step 3: Cross multiply
    152,039.64x = 227,808.97 × 52,145
  4. Step 4: Simplify right side
    152,039.64x = 11,879,098,740.65
  5. Step 5: Solve for x
    x = 11,879,098,740.65/152,039.64
  6. Step 6: Final answer
    x = 78,131.59

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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.