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Finding the Fourth Proportional to 100,565.40, 150,848.10 and 30,448.20

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Solution

The fourth proportional to 100,565.40, 150,848.10 and 30,448.20 is: 45,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.40 : 150,848.10 = 30,448.20 : x
  2. Step 2: Convert to fraction form
    100,565.40/150,848.10 = 30,448.20/x
  3. Step 3: Cross multiply
    100,565.40x = 150,848.10 × 30,448.20
  4. Step 4: Simplify right side
    100,565.40x = 4,593,053,118.42
  5. Step 5: Solve for x
    x = 4,593,053,118.42/100,565.40
  6. Step 6: Final answer
    x = 45,672.30

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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.