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Finding the Fourth Proportional to 213,234.72, 319,744.08 and 124,510.56

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Solution

The fourth proportional to 213,234.72, 319,744.08 and 124,510.56 is: 186,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,234.72 : 319,744.08 = 124,510.56 : x
  2. Step 2: Convert to fraction form
    213,234.72/319,744.08 = 124,510.56/x
  3. Step 3: Cross multiply
    213,234.72x = 319,744.08 × 124,510.56
  4. Step 4: Simplify right side
    213,234.72x = 39,811,514,457.48
  5. Step 5: Solve for x
    x = 39,811,514,457.48/213,234.72
  6. Step 6: Final answer
    x = 186,702.78

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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.