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Finding the Fourth Proportional to 210,851.20, 316,422.60 and 151,729.30

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Solution

The fourth proportional to 210,851.20, 316,422.60 and 151,729.30 is: 227,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,851.20 : 316,422.60 = 151,729.30 : x
  2. Step 2: Convert to fraction form
    210,851.20/316,422.60 = 151,729.30/x
  3. Step 3: Cross multiply
    210,851.20x = 316,422.60 × 151,729.30
  4. Step 4: Simplify right side
    210,851.20x = 48,010,579,602.18
  5. Step 5: Solve for x
    x = 48,010,579,602.18/210,851.20
  6. Step 6: Final answer
    x = 227,698.87

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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.