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Finding the Fourth Proportional to 210,502.47, 315,774.96 and 68,341.80

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Solution

The fourth proportional to 210,502.47, 315,774.96 and 68,341.80 is: 102,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,502.47 : 315,774.96 = 68,341.80 : x
  2. Step 2: Convert to fraction form
    210,502.47/315,774.96 = 68,341.80/x
  3. Step 3: Cross multiply
    210,502.47x = 315,774.96 × 68,341.80
  4. Step 4: Simplify right side
    210,502.47x = 21,580,629,161.33
  5. Step 5: Solve for x
    x = 21,580,629,161.33/210,502.47
  6. Step 6: Final answer
    x = 102,519.60

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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.