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Finding the Fourth Proportional to 121,300.40, 181,691.40 and 100,564.40

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Solution

The fourth proportional to 121,300.40, 181,691.40 and 100,564.40 is: 150,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,300.40 : 181,691.40 = 100,564.40 : x
  2. Step 2: Convert to fraction form
    121,300.40/181,691.40 = 100,564.40/x
  3. Step 3: Cross multiply
    121,300.40x = 181,691.40 × 100,564.40
  4. Step 4: Simplify right side
    121,300.40x = 18,271,686,626.16
  5. Step 5: Solve for x
    x = 18,271,686,626.16/121,300.40
  6. Step 6: Final answer
    x = 150,631.71

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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.