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Finding the Fourth Proportional to 100,090.98, 138,102.30 and 59,817.78

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Solution

The fourth proportional to 100,090.98, 138,102.30 and 59,817.78 is: 82,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,090.98 : 138,102.30 = 59,817.78 : x
  2. Step 2: Convert to fraction form
    100,090.98/138,102.30 = 59,817.78/x
  3. Step 3: Cross multiply
    100,090.98x = 138,102.30 × 59,817.78
  4. Step 4: Simplify right side
    100,090.98x = 8,260,972,998.89
  5. Step 5: Solve for x
    x = 8,260,972,998.89/100,090.98
  6. Step 6: Final answer
    x = 82,534.64

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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.