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Finding the Fourth Proportional to 109,689, 164,534.40 and 26,583

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Solution

The fourth proportional to 109,689, 164,534.40 and 26,583 is: 39,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,689 : 164,534.40 = 26,583 : x
  2. Step 2: Convert to fraction form
    109,689/164,534.40 = 26,583/x
  3. Step 3: Cross multiply
    109,689x = 164,534.40 × 26,583
  4. Step 4: Simplify right side
    109,689x = 4,373,817,955.20
  5. Step 5: Solve for x
    x = 4,373,817,955.20/109,689
  6. Step 6: Final answer
    x = 39,874.72

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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.