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Finding the Fourth Proportional to 210,224.65, 315,149.49 and 77,073.88

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Solution

The fourth proportional to 210,224.65, 315,149.49 and 77,073.88 is: 115,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,224.65 : 315,149.49 = 77,073.88 : x
  2. Step 2: Convert to fraction form
    210,224.65/315,149.49 = 77,073.88/x
  3. Step 3: Cross multiply
    210,224.65x = 315,149.49 × 77,073.88
  4. Step 4: Simplify right side
    210,224.65x = 24,289,793,974.32
  5. Step 5: Solve for x
    x = 24,289,793,974.32/210,224.65
  6. Step 6: Final answer
    x = 115,542.08

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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.