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Finding the Fourth Proportional to 101,389, 151,981.44 and 42,257.40

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Solution

The fourth proportional to 101,389, 151,981.44 and 42,257.40 is: 63,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,389 : 151,981.44 = 42,257.40 : x
  2. Step 2: Convert to fraction form
    101,389/151,981.44 = 42,257.40/x
  3. Step 3: Cross multiply
    101,389x = 151,981.44 × 42,257.40
  4. Step 4: Simplify right side
    101,389x = 6,422,340,502.66
  5. Step 5: Solve for x
    x = 6,422,340,502.66/101,389
  6. Step 6: Final answer
    x = 63,343.56

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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.