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Finding the Fourth Proportional to 147,305, 203,281.70 and 80,237.16

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Solution

The fourth proportional to 147,305, 203,281.70 and 80,237.16 is: 110,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,305 : 203,281.70 = 80,237.16 : x
  2. Step 2: Convert to fraction form
    147,305/203,281.70 = 80,237.16/x
  3. Step 3: Cross multiply
    147,305x = 203,281.70 × 80,237.16
  4. Step 4: Simplify right side
    147,305x = 16,310,746,287.97
  5. Step 5: Solve for x
    x = 16,310,746,287.97/147,305
  6. Step 6: Final answer
    x = 110,727.72

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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.