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Finding the Fourth Proportional to 213,159.49, 319,461.56 and 86,651.96

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Solution

The fourth proportional to 213,159.49, 319,461.56 and 86,651.96 is: 129,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,159.49 : 319,461.56 = 86,651.96 : x
  2. Step 2: Convert to fraction form
    213,159.49/319,461.56 = 86,651.96/x
  3. Step 3: Cross multiply
    213,159.49x = 319,461.56 × 86,651.96
  4. Step 4: Simplify right side
    213,159.49x = 27,681,970,410.01
  5. Step 5: Solve for x
    x = 27,681,970,410.01/213,159.49
  6. Step 6: Final answer
    x = 129,865.06

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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.