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Finding the Fourth Proportional to 129,347.40, 194,021.10 and 109,664.40

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Solution

The fourth proportional to 129,347.40, 194,021.10 and 109,664.40 is: 164,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,347.40 : 194,021.10 = 109,664.40 : x
  2. Step 2: Convert to fraction form
    129,347.40/194,021.10 = 109,664.40/x
  3. Step 3: Cross multiply
    129,347.40x = 194,021.10 × 109,664.40
  4. Step 4: Simplify right side
    129,347.40x = 21,277,207,518.84
  5. Step 5: Solve for x
    x = 21,277,207,518.84/129,347.40
  6. Step 6: Final answer
    x = 164,496.60

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1.5x scale

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.