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Finding the Fourth Proportional to 100,289, 150,433.50 and 26,417

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Solution

The fourth proportional to 100,289, 150,433.50 and 26,417 is: 39,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,289 : 150,433.50 = 26,417 : x
  2. Step 2: Convert to fraction form
    100,289/150,433.50 = 26,417/x
  3. Step 3: Cross multiply
    100,289x = 150,433.50 × 26,417
  4. Step 4: Simplify right side
    100,289x = 3,974,001,769.50
  5. Step 5: Solve for x
    x = 3,974,001,769.50/100,289
  6. Step 6: Final answer
    x = 39,625.50

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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.