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Finding the Fourth Proportional to 101,072, 151,641.48 and 30,951.92

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Solution

The fourth proportional to 101,072, 151,641.48 and 30,951.92 is: 46,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,072 : 151,641.48 = 30,951.92 : x
  2. Step 2: Convert to fraction form
    101,072/151,641.48 = 30,951.92/x
  3. Step 3: Cross multiply
    101,072x = 151,641.48 × 30,951.92
  4. Step 4: Simplify right side
    101,072x = 4,693,594,957.64
  5. Step 5: Solve for x
    x = 4,693,594,957.64/101,072
  6. Step 6: Final answer
    x = 46,438.13

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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.