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Finding the Fourth Proportional to 154,121.50, 231,182.25 and 43,313.50

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Solution

The fourth proportional to 154,121.50, 231,182.25 and 43,313.50 is: 64,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,121.50 : 231,182.25 = 43,313.50 : x
  2. Step 2: Convert to fraction form
    154,121.50/231,182.25 = 43,313.50/x
  3. Step 3: Cross multiply
    154,121.50x = 231,182.25 × 43,313.50
  4. Step 4: Simplify right side
    154,121.50x = 10,013,312,385.38
  5. Step 5: Solve for x
    x = 10,013,312,385.38/154,121.50
  6. Step 6: Final answer
    x = 64,970.25

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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.