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Finding the Fourth Proportional to 100,765, 151,147.50 and 26,893

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Solution

The fourth proportional to 100,765, 151,147.50 and 26,893 is: 40,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,765 : 151,147.50 = 26,893 : x
  2. Step 2: Convert to fraction form
    100,765/151,147.50 = 26,893/x
  3. Step 3: Cross multiply
    100,765x = 151,147.50 × 26,893
  4. Step 4: Simplify right side
    100,765x = 4,064,809,717.50
  5. Step 5: Solve for x
    x = 4,064,809,717.50/100,765
  6. Step 6: Final answer
    x = 40,339.50

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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.