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Finding the Fourth Proportional to 213,310.65, 319,985.10 and 55,540.47

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Solution

The fourth proportional to 213,310.65, 319,985.10 and 55,540.47 is: 83,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,310.65 : 319,985.10 = 55,540.47 : x
  2. Step 2: Convert to fraction form
    213,310.65/319,985.10 = 55,540.47/x
  3. Step 3: Cross multiply
    213,310.65x = 319,985.10 × 55,540.47
  4. Step 4: Simplify right side
    213,310.65x = 17,772,121,247.07
  5. Step 5: Solve for x
    x = 17,772,121,247.07/213,310.65
  6. Step 6: Final answer
    x = 83,315.68

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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.