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Finding the Fourth Proportional to 154,117.80, 231,023.10 and 70,866.60

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Solution

The fourth proportional to 154,117.80, 231,023.10 and 70,866.60 is: 106,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,117.80 : 231,023.10 = 70,866.60 : x
  2. Step 2: Convert to fraction form
    154,117.80/231,023.10 = 70,866.60/x
  3. Step 3: Cross multiply
    154,117.80x = 231,023.10 × 70,866.60
  4. Step 4: Simplify right side
    154,117.80x = 16,371,821,618.46
  5. Step 5: Solve for x
    x = 16,371,821,618.46/154,117.80
  6. Step 6: Final answer
    x = 106,229.27

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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.