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Finding the Fourth Proportional to 152,989.57, 211,057.68 and 101,952.59

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Solution

The fourth proportional to 152,989.57, 211,057.68 and 101,952.59 is: 140,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,989.57 : 211,057.68 = 101,952.59 : x
  2. Step 2: Convert to fraction form
    152,989.57/211,057.68 = 101,952.59/x
  3. Step 3: Cross multiply
    152,989.57x = 211,057.68 × 101,952.59
  4. Step 4: Simplify right side
    152,989.57x = 21,517,876,442.43
  5. Step 5: Solve for x
    x = 21,517,876,442.43/152,989.57
  6. Step 6: Final answer
    x = 140,649.30

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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.