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Finding the Fourth Proportional to 151,968, 209,710.17 and 87,447.20

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Solution

The fourth proportional to 151,968, 209,710.17 and 87,447.20 is: 120,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,968 : 209,710.17 = 87,447.20 : x
  2. Step 2: Convert to fraction form
    151,968/209,710.17 = 87,447.20/x
  3. Step 3: Cross multiply
    151,968x = 209,710.17 × 87,447.20
  4. Step 4: Simplify right side
    151,968x = 18,338,567,178.02
  5. Step 5: Solve for x
    x = 18,338,567,178.02/151,968
  6. Step 6: Final answer
    x = 120,673.87

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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.