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Finding the Fourth Proportional to 100,901.76, 151,347 and 30,775.56

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Solution

The fourth proportional to 100,901.76, 151,347 and 30,775.56 is: 46,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,901.76 : 151,347 = 30,775.56 : x
  2. Step 2: Convert to fraction form
    100,901.76/151,347 = 30,775.56/x
  3. Step 3: Cross multiply
    100,901.76x = 151,347 × 30,775.56
  4. Step 4: Simplify right side
    100,901.76x = 4,657,788,679.32
  5. Step 5: Solve for x
    x = 4,657,788,679.32/100,901.76
  6. Step 6: Final answer
    x = 46,161.62

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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.