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Finding the Fourth Proportional to 210,384, 315,582.35 and 82,295.15

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Solution

The fourth proportional to 210,384, 315,582.35 and 82,295.15 is: 123,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,384 : 315,582.35 = 82,295.15 : x
  2. Step 2: Convert to fraction form
    210,384/315,582.35 = 82,295.15/x
  3. Step 3: Cross multiply
    210,384x = 315,582.35 × 82,295.15
  4. Step 4: Simplify right side
    210,384x = 25,970,894,841.22
  5. Step 5: Solve for x
    x = 25,970,894,841.22/210,384
  6. Step 6: Final answer
    x = 123,445.20

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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.