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Finding the Fourth Proportional to 147,321.96, 221,079.74 and 80,808.81

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Solution

The fourth proportional to 147,321.96, 221,079.74 and 80,808.81 is: 121,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,321.96 : 221,079.74 = 80,808.81 : x
  2. Step 2: Convert to fraction form
    147,321.96/221,079.74 = 80,808.81/x
  3. Step 3: Cross multiply
    147,321.96x = 221,079.74 × 80,808.81
  4. Step 4: Simplify right side
    147,321.96x = 17,865,190,300.47
  5. Step 5: Solve for x
    x = 17,865,190,300.47/147,321.96
  6. Step 6: Final answer
    x = 121,266.31

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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.