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Finding the Fourth Proportional to 140,548.86, 193,956.81 and 76,018.17

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Solution

The fourth proportional to 140,548.86, 193,956.81 and 76,018.17 is: 104,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,548.86 : 193,956.81 = 76,018.17 : x
  2. Step 2: Convert to fraction form
    140,548.86/193,956.81 = 76,018.17/x
  3. Step 3: Cross multiply
    140,548.86x = 193,956.81 × 76,018.17
  4. Step 4: Simplify right side
    140,548.86x = 14,744,241,755.24
  5. Step 5: Solve for x
    x = 14,744,241,755.24/140,548.86
  6. Step 6: Final answer
    x = 104,904.74

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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.