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Finding the Fourth Proportional to 216,041.40, 324,062.10 and 141,391.80

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Solution

The fourth proportional to 216,041.40, 324,062.10 and 141,391.80 is: 212,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,041.40 : 324,062.10 = 141,391.80 : x
  2. Step 2: Convert to fraction form
    216,041.40/324,062.10 = 141,391.80/x
  3. Step 3: Cross multiply
    216,041.40x = 324,062.10 × 141,391.80
  4. Step 4: Simplify right side
    216,041.40x = 45,819,723,630.78
  5. Step 5: Solve for x
    x = 45,819,723,630.78/216,041.40
  6. Step 6: Final answer
    x = 212,087.70

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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.