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Finding the Fourth Proportional to 105,812.70, 158,719.05 and 31,931.10

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Solution

The fourth proportional to 105,812.70, 158,719.05 and 31,931.10 is: 47,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,812.70 : 158,719.05 = 31,931.10 : x
  2. Step 2: Convert to fraction form
    105,812.70/158,719.05 = 31,931.10/x
  3. Step 3: Cross multiply
    105,812.70x = 158,719.05 × 31,931.10
  4. Step 4: Simplify right side
    105,812.70x = 5,068,073,857.46
  5. Step 5: Solve for x
    x = 5,068,073,857.46/105,812.70
  6. Step 6: Final answer
    x = 47,896.65

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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.