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Finding the Fourth Proportional to 102,173.96, 140,978.94 and 59,724.28

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Solution

The fourth proportional to 102,173.96, 140,978.94 and 59,724.28 is: 82,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,173.96 : 140,978.94 = 59,724.28 : x
  2. Step 2: Convert to fraction form
    102,173.96/140,978.94 = 59,724.28/x
  3. Step 3: Cross multiply
    102,173.96x = 140,978.94 × 59,724.28
  4. Step 4: Simplify right side
    102,173.96x = 8,419,865,686.66
  5. Step 5: Solve for x
    x = 8,419,865,686.66/102,173.96
  6. Step 6: Final answer
    x = 82,407.16

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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.