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Finding the Fourth Proportional to 153,252.18, 211,489.02 and 85,272

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Solution

The fourth proportional to 153,252.18, 211,489.02 and 85,272 is: 117,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,252.18 : 211,489.02 = 85,272 : x
  2. Step 2: Convert to fraction form
    153,252.18/211,489.02 = 85,272/x
  3. Step 3: Cross multiply
    153,252.18x = 211,489.02 × 85,272
  4. Step 4: Simplify right side
    153,252.18x = 18,034,091,713.44
  5. Step 5: Solve for x
    x = 18,034,091,713.44/153,252.18
  6. Step 6: Final answer
    x = 117,675.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.