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Finding the Fourth Proportional to 147,732, 203,870.70 and 80,664

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Solution

The fourth proportional to 147,732, 203,870.70 and 80,664 is: 111,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,732 : 203,870.70 = 80,664 : x
  2. Step 2: Convert to fraction form
    147,732/203,870.70 = 80,664/x
  3. Step 3: Cross multiply
    147,732x = 203,870.70 × 80,664
  4. Step 4: Simplify right side
    147,732x = 16,445,026,144.80
  5. Step 5: Solve for x
    x = 16,445,026,144.80/147,732
  6. Step 6: Final answer
    x = 111,316.61

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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.