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Finding the Fourth Proportional to 164,090.50, 226,445.01 and 88,639

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Solution

The fourth proportional to 164,090.50, 226,445.01 and 88,639 is: 122,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,090.50 : 226,445.01 = 88,639 : x
  2. Step 2: Convert to fraction form
    164,090.50/226,445.01 = 88,639/x
  3. Step 3: Cross multiply
    164,090.50x = 226,445.01 × 88,639
  4. Step 4: Simplify right side
    164,090.50x = 20,071,859,241.39
  5. Step 5: Solve for x
    x = 20,071,859,241.39/164,090.50
  6. Step 6: Final answer
    x = 122,321.88

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1.5x scale

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.