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Finding the Fourth Proportional to 147,564, 203,638.32 and 80,496

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Solution

The fourth proportional to 147,564, 203,638.32 and 80,496 is: 111,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,564 : 203,638.32 = 80,496 : x
  2. Step 2: Convert to fraction form
    147,564/203,638.32 = 80,496/x
  3. Step 3: Cross multiply
    147,564x = 203,638.32 × 80,496
  4. Step 4: Simplify right side
    147,564x = 16,392,070,206.72
  5. Step 5: Solve for x
    x = 16,392,070,206.72/147,564
  6. Step 6: Final answer
    x = 111,084.48

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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.