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Finding the Fourth Proportional to 189,721.92, 284,665.44 and 89,952

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Solution

The fourth proportional to 189,721.92, 284,665.44 and 89,952 is: 134,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,721.92 : 284,665.44 = 89,952 : x
  2. Step 2: Convert to fraction form
    189,721.92/284,665.44 = 89,952/x
  3. Step 3: Cross multiply
    189,721.92x = 284,665.44 × 89,952
  4. Step 4: Simplify right side
    189,721.92x = 25,606,225,658.88
  5. Step 5: Solve for x
    x = 25,606,225,658.88/189,721.92
  6. Step 6: Final answer
    x = 134,967.14

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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.