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Finding the Fourth Proportional to 100,993.50, 151,490.25 and 38,664

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Solution

The fourth proportional to 100,993.50, 151,490.25 and 38,664 is: 57,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,993.50 : 151,490.25 = 38,664 : x
  2. Step 2: Convert to fraction form
    100,993.50/151,490.25 = 38,664/x
  3. Step 3: Cross multiply
    100,993.50x = 151,490.25 × 38,664
  4. Step 4: Simplify right side
    100,993.50x = 5,857,219,026
  5. Step 5: Solve for x
    x = 5,857,219,026/100,993.50
  6. Step 6: Final answer
    x = 57,996

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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.