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Finding the Fourth Proportional to 109,412.40, 164,118.60 and 89,972.40

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Solution

The fourth proportional to 109,412.40, 164,118.60 and 89,972.40 is: 134,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.40 : 164,118.60 = 89,972.40 : x
  2. Step 2: Convert to fraction form
    109,412.40/164,118.60 = 89,972.40/x
  3. Step 3: Cross multiply
    109,412.40x = 164,118.60 × 89,972.40
  4. Step 4: Simplify right side
    109,412.40x = 14,766,144,326.64
  5. Step 5: Solve for x
    x = 14,766,144,326.64/109,412.40
  6. Step 6: Final answer
    x = 134,958.60

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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.