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Finding the Fourth Proportional to 138,771.50, 191,509.34 and 85,046.16

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Solution

The fourth proportional to 138,771.50, 191,509.34 and 85,046.16 is: 117,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771.50 : 191,509.34 = 85,046.16 : x
  2. Step 2: Convert to fraction form
    138,771.50/191,509.34 = 85,046.16/x
  3. Step 3: Cross multiply
    138,771.50x = 191,509.34 × 85,046.16
  4. Step 4: Simplify right side
    138,771.50x = 16,287,133,971.13
  5. Step 5: Solve for x
    x = 16,287,133,971.13/138,771.50
  6. Step 6: Final answer
    x = 117,366.56

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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.