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Finding the Fourth Proportional to 100,912.92, 150,177.94 and 97,549.80

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Solution

The fourth proportional to 100,912.92, 150,177.94 and 97,549.80 is: 145,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912.92 : 150,177.94 = 97,549.80 : x
  2. Step 2: Convert to fraction form
    100,912.92/150,177.94 = 97,549.80/x
  3. Step 3: Cross multiply
    100,912.92x = 150,177.94 × 97,549.80
  4. Step 4: Simplify right side
    100,912.92x = 14,649,828,011.41
  5. Step 5: Solve for x
    x = 14,649,828,011.41/100,912.92
  6. Step 6: Final answer
    x = 145,172.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.