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Finding the Fourth Proportional to 189,655.73, 284,623.58 and 89,815.73

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Solution

The fourth proportional to 189,655.73, 284,623.58 and 89,815.73 is: 134,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,655.73 : 284,623.58 = 89,815.73 : x
  2. Step 2: Convert to fraction form
    189,655.73/284,623.58 = 89,815.73/x
  3. Step 3: Cross multiply
    189,655.73x = 284,623.58 × 89,815.73
  4. Step 4: Simplify right side
    189,655.73x = 25,563,674,612.91
  5. Step 5: Solve for x
    x = 25,563,674,612.91/189,655.73
  6. Step 6: Final answer
    x = 134,789.89

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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.