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Finding the Fourth Proportional to 121,885.20, 182,850.72 and 55,330

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Solution

The fourth proportional to 121,885.20, 182,850.72 and 55,330 is: 83,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,885.20 : 182,850.72 = 55,330 : x
  2. Step 2: Convert to fraction form
    121,885.20/182,850.72 = 55,330/x
  3. Step 3: Cross multiply
    121,885.20x = 182,850.72 × 55,330
  4. Step 4: Simplify right side
    121,885.20x = 10,117,130,337.60
  5. Step 5: Solve for x
    x = 10,117,130,337.60/121,885.20
  6. Step 6: Final answer
    x = 83,005.40

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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.