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Finding the Fourth Proportional to 109,972, 151,761.36 and 59,671

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Solution

The fourth proportional to 109,972, 151,761.36 and 59,671 is: 82,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,972 : 151,761.36 = 59,671 : x
  2. Step 2: Convert to fraction form
    109,972/151,761.36 = 59,671/x
  3. Step 3: Cross multiply
    109,972x = 151,761.36 × 59,671
  4. Step 4: Simplify right side
    109,972x = 9,055,752,112.56
  5. Step 5: Solve for x
    x = 9,055,752,112.56/109,972
  6. Step 6: Final answer
    x = 82,345.98

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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.