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Finding the Fourth Proportional to 213,182.64, 319,839.12 and 127,888.02

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Solution

The fourth proportional to 213,182.64, 319,839.12 and 127,888.02 is: 191,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,182.64 : 319,839.12 = 127,888.02 : x
  2. Step 2: Convert to fraction form
    213,182.64/319,839.12 = 127,888.02/x
  3. Step 3: Cross multiply
    213,182.64x = 319,839.12 × 127,888.02
  4. Step 4: Simplify right side
    213,182.64x = 40,903,591,775.34
  5. Step 5: Solve for x
    x = 40,903,591,775.34/213,182.64
  6. Step 6: Final answer
    x = 191,871.12

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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.