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Finding the Fourth Proportional to 210,570.75, 315,766.22 and 121,885.47

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Solution

The fourth proportional to 210,570.75, 315,766.22 and 121,885.47 is: 182,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,570.75 : 315,766.22 = 121,885.47 : x
  2. Step 2: Convert to fraction form
    210,570.75/315,766.22 = 121,885.47/x
  3. Step 3: Cross multiply
    210,570.75x = 315,766.22 × 121,885.47
  4. Step 4: Simplify right side
    210,570.75x = 38,487,313,525.40
  5. Step 5: Solve for x
    x = 38,487,313,525.40/210,570.75
  6. Step 6: Final answer
    x = 182,776.16

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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.