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Finding the Fourth Proportional to 211,506.77, 317,261.78 and 71,263.37

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Solution

The fourth proportional to 211,506.77, 317,261.78 and 71,263.37 is: 106,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,506.77 : 317,261.78 = 71,263.37 : x
  2. Step 2: Convert to fraction form
    211,506.77/317,261.78 = 71,263.37/x
  3. Step 3: Cross multiply
    211,506.77x = 317,261.78 × 71,263.37
  4. Step 4: Simplify right side
    211,506.77x = 22,609,141,672.37
  5. Step 5: Solve for x
    x = 22,609,141,672.37/211,506.77
  6. Step 6: Final answer
    x = 106,895.60

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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.