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Finding the Fourth Proportional to 129,877.60, 194,816.40 and 106,530.40

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Solution

The fourth proportional to 129,877.60, 194,816.40 and 106,530.40 is: 159,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,877.60 : 194,816.40 = 106,530.40 : x
  2. Step 2: Convert to fraction form
    129,877.60/194,816.40 = 106,530.40/x
  3. Step 3: Cross multiply
    129,877.60x = 194,816.40 × 106,530.40
  4. Step 4: Simplify right side
    129,877.60x = 20,753,869,018.56
  5. Step 5: Solve for x
    x = 20,753,869,018.56/129,877.60
  6. Step 6: Final answer
    x = 159,795.60

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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.