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Finding the Fourth Proportional to 101,836, 152,754.27 and 31,715.38

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Solution

The fourth proportional to 101,836, 152,754.27 and 31,715.38 is: 47,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,836 : 152,754.27 = 31,715.38 : x
  2. Step 2: Convert to fraction form
    101,836/152,754.27 = 31,715.38/x
  3. Step 3: Cross multiply
    101,836x = 152,754.27 × 31,715.38
  4. Step 4: Simplify right side
    101,836x = 4,844,659,719.67
  5. Step 5: Solve for x
    x = 4,844,659,719.67/101,836
  6. Step 6: Final answer
    x = 47,573.15

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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.