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Finding the Fourth Proportional to 188,294.94, 282,269.34 and 81,612

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Solution

The fourth proportional to 188,294.94, 282,269.34 and 81,612 is: 122,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,294.94 : 282,269.34 = 81,612 : x
  2. Step 2: Convert to fraction form
    188,294.94/282,269.34 = 81,612/x
  3. Step 3: Cross multiply
    188,294.94x = 282,269.34 × 81,612
  4. Step 4: Simplify right side
    188,294.94x = 23,036,565,376.08
  5. Step 5: Solve for x
    x = 23,036,565,376.08/188,294.94
  6. Step 6: Final answer
    x = 122,342.99

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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.