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Finding the Fourth Proportional to 67,983.40, 101,975.10 and 31,047.40

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Solution

The fourth proportional to 67,983.40, 101,975.10 and 31,047.40 is: 46,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983.40 : 101,975.10 = 31,047.40 : x
  2. Step 2: Convert to fraction form
    67,983.40/101,975.10 = 31,047.40/x
  3. Step 3: Cross multiply
    67,983.40x = 101,975.10 × 31,047.40
  4. Step 4: Simplify right side
    67,983.40x = 3,166,061,719.74
  5. Step 5: Solve for x
    x = 3,166,061,719.74/67,983.40
  6. Step 6: Final answer
    x = 46,571.10

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Similar ratio
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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.