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Finding the Fourth Proportional to 159,230.50, 219,736.86 and 90,333.11

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Solution

The fourth proportional to 159,230.50, 219,736.86 and 90,333.11 is: 124,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,230.50 : 219,736.86 = 90,333.11 : x
  2. Step 2: Convert to fraction form
    159,230.50/219,736.86 = 90,333.11/x
  3. Step 3: Cross multiply
    159,230.50x = 219,736.86 × 90,333.11
  4. Step 4: Simplify right side
    159,230.50x = 19,849,513,945.43
  5. Step 5: Solve for x
    x = 19,849,513,945.43/159,230.50
  6. Step 6: Final answer
    x = 124,658.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.