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Finding the Fourth Proportional to 100,578.42, 150,863.31 and 25,700.40

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Solution

The fourth proportional to 100,578.42, 150,863.31 and 25,700.40 is: 38,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.42 : 150,863.31 = 25,700.40 : x
  2. Step 2: Convert to fraction form
    100,578.42/150,863.31 = 25,700.40/x
  3. Step 3: Cross multiply
    100,578.42x = 150,863.31 × 25,700.40
  4. Step 4: Simplify right side
    100,578.42x = 3,877,247,412.32
  5. Step 5: Solve for x
    x = 3,877,247,412.32/100,578.42
  6. Step 6: Final answer
    x = 38,549.50

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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.