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Finding the Fourth Proportional to 138,563.34, 191,116.44 and 105,931.50

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Solution

The fourth proportional to 138,563.34, 191,116.44 and 105,931.50 is: 146,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,563.34 : 191,116.44 = 105,931.50 : x
  2. Step 2: Convert to fraction form
    138,563.34/191,116.44 = 105,931.50/x
  3. Step 3: Cross multiply
    138,563.34x = 191,116.44 × 105,931.50
  4. Step 4: Simplify right side
    138,563.34x = 20,245,251,163.86
  5. Step 5: Solve for x
    x = 20,245,251,163.86/138,563.34
  6. Step 6: Final answer
    x = 146,108.28

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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.