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Finding the Fourth Proportional to 211,797.36, 317,686.32 and 71,557.20

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Solution

The fourth proportional to 211,797.36, 317,686.32 and 71,557.20 is: 107,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,797.36 : 317,686.32 = 71,557.20 : x
  2. Step 2: Convert to fraction form
    211,797.36/317,686.32 = 71,557.20/x
  3. Step 3: Cross multiply
    211,797.36x = 317,686.32 × 71,557.20
  4. Step 4: Simplify right side
    211,797.36x = 22,732,743,537.50
  5. Step 5: Solve for x
    x = 22,732,743,537.50/211,797.36
  6. Step 6: Final answer
    x = 107,332.52

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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.