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Finding the Fourth Proportional to 213,174.12, 319,643.60 and 86,782

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Solution

The fourth proportional to 213,174.12, 319,643.60 and 86,782 is: 130,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,174.12 : 319,643.60 = 86,782 : x
  2. Step 2: Convert to fraction form
    213,174.12/319,643.60 = 86,782/x
  3. Step 3: Cross multiply
    213,174.12x = 319,643.60 × 86,782
  4. Step 4: Simplify right side
    213,174.12x = 27,739,310,895.20
  5. Step 5: Solve for x
    x = 27,739,310,895.20/213,174.12
  6. Step 6: Final answer
    x = 130,125.13

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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.