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Finding the Fourth Proportional to 211,534.80, 317,302.20 and 71,278.80

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Solution

The fourth proportional to 211,534.80, 317,302.20 and 71,278.80 is: 106,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,534.80 : 317,302.20 = 71,278.80 : x
  2. Step 2: Convert to fraction form
    211,534.80/317,302.20 = 71,278.80/x
  3. Step 3: Cross multiply
    211,534.80x = 317,302.20 × 71,278.80
  4. Step 4: Simplify right side
    211,534.80x = 22,616,920,053.36
  5. Step 5: Solve for x
    x = 22,616,920,053.36/211,534.80
  6. Step 6: Final answer
    x = 106,918.20

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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.