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Finding the Fourth Proportional to 212,855.04, 319,282.56 and 86,508

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Solution

The fourth proportional to 212,855.04, 319,282.56 and 86,508 is: 129,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,855.04 : 319,282.56 = 86,508 : x
  2. Step 2: Convert to fraction form
    212,855.04/319,282.56 = 86,508/x
  3. Step 3: Cross multiply
    212,855.04x = 319,282.56 × 86,508
  4. Step 4: Simplify right side
    212,855.04x = 27,620,495,700.48
  5. Step 5: Solve for x
    x = 27,620,495,700.48/212,855.04
  6. Step 6: Final answer
    x = 129,762

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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.