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Finding the Fourth Proportional to 211,543.20, 317,833.20 and 159,055.20

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Solution

The fourth proportional to 211,543.20, 317,833.20 and 159,055.20 is: 238,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,543.20 : 317,833.20 = 159,055.20 : x
  2. Step 2: Convert to fraction form
    211,543.20/317,833.20 = 159,055.20/x
  3. Step 3: Cross multiply
    211,543.20x = 317,833.20 × 159,055.20
  4. Step 4: Simplify right side
    211,543.20x = 50,553,023,192.64
  5. Step 5: Solve for x
    x = 50,553,023,192.64/211,543.20
  6. Step 6: Final answer
    x = 238,972.57

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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.