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Finding the Fourth Proportional to 189,628.80, 284,248.80 and 110,702.40

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Solution

The fourth proportional to 189,628.80, 284,248.80 and 110,702.40 is: 165,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,628.80 : 284,248.80 = 110,702.40 : x
  2. Step 2: Convert to fraction form
    189,628.80/284,248.80 = 110,702.40/x
  3. Step 3: Cross multiply
    189,628.80x = 284,248.80 × 110,702.40
  4. Step 4: Simplify right side
    189,628.80x = 31,467,024,357.12
  5. Step 5: Solve for x
    x = 31,467,024,357.12/189,628.80
  6. Step 6: Final answer
    x = 165,940.11

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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.