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Finding the Fourth Proportional to 100,681, 151,021.98 and 26,809

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Solution

The fourth proportional to 100,681, 151,021.98 and 26,809 is: 40,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681 : 151,021.98 = 26,809 : x
  2. Step 2: Convert to fraction form
    100,681/151,021.98 = 26,809/x
  3. Step 3: Cross multiply
    100,681x = 151,021.98 × 26,809
  4. Step 4: Simplify right side
    100,681x = 4,048,748,261.82
  5. Step 5: Solve for x
    x = 4,048,748,261.82/100,681
  6. Step 6: Final answer
    x = 40,213.63

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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.