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Finding the Fourth Proportional to 189,979.68, 284,963.84 and 77,628

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Solution

The fourth proportional to 189,979.68, 284,963.84 and 77,628 is: 116,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,979.68 : 284,963.84 = 77,628 : x
  2. Step 2: Convert to fraction form
    189,979.68/284,963.84 = 77,628/x
  3. Step 3: Cross multiply
    189,979.68x = 284,963.84 × 77,628
  4. Step 4: Simplify right side
    189,979.68x = 22,121,172,971.52
  5. Step 5: Solve for x
    x = 22,121,172,971.52/189,979.68
  6. Step 6: Final answer
    x = 116,439.68

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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.