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Finding the Fourth Proportional to 212,981.64, 319,156.92 and 86,468.04

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Solution

The fourth proportional to 212,981.64, 319,156.92 and 86,468.04 is: 129,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,981.64 : 319,156.92 = 86,468.04 : x
  2. Step 2: Convert to fraction form
    212,981.64/319,156.92 = 86,468.04/x
  3. Step 3: Cross multiply
    212,981.64x = 319,156.92 × 86,468.04
  4. Step 4: Simplify right side
    212,981.64x = 27,596,873,324.84
  5. Step 5: Solve for x
    x = 27,596,873,324.84/212,981.64
  6. Step 6: Final answer
    x = 129,573.95

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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.