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Finding the Fourth Proportional to 211,725.78, 317,347.08 and 85,285.11

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Solution

The fourth proportional to 211,725.78, 317,347.08 and 85,285.11 is: 127,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,725.78 : 317,347.08 = 85,285.11 : x
  2. Step 2: Convert to fraction form
    211,725.78/317,347.08 = 85,285.11/x
  3. Step 3: Cross multiply
    211,725.78x = 317,347.08 × 85,285.11
  4. Step 4: Simplify right side
    211,725.78x = 27,064,980,625.98
  5. Step 5: Solve for x
    x = 27,064,980,625.98/211,725.78
  6. Step 6: Final answer
    x = 127,830.35

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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.