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Finding the Fourth Proportional to 109,639, 164,459.31 and 26,533

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Solution

The fourth proportional to 109,639, 164,459.31 and 26,533 is: 39,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,639 : 164,459.31 = 26,533 : x
  2. Step 2: Convert to fraction form
    109,639/164,459.31 = 26,533/x
  3. Step 3: Cross multiply
    109,639x = 164,459.31 × 26,533
  4. Step 4: Simplify right side
    109,639x = 4,363,598,872.23
  5. Step 5: Solve for x
    x = 4,363,598,872.23/109,639
  6. Step 6: Final answer
    x = 39,799.70

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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.