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Finding the Fourth Proportional to 109,076.40, 150,522.84 and 71,349.84

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Solution

The fourth proportional to 109,076.40, 150,522.84 and 71,349.84 is: 98,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076.40 : 150,522.84 = 71,349.84 : x
  2. Step 2: Convert to fraction form
    109,076.40/150,522.84 = 71,349.84/x
  3. Step 3: Cross multiply
    109,076.40x = 150,522.84 × 71,349.84
  4. Step 4: Simplify right side
    109,076.40x = 10,739,780,550.35
  5. Step 5: Solve for x
    x = 10,739,780,550.35/109,076.40
  6. Step 6: Final answer
    x = 98,461.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.