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Finding the Fourth Proportional to 138,773.50, 191,512.10 and 85,048.16

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Solution

The fourth proportional to 138,773.50, 191,512.10 and 85,048.16 is: 117,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,773.50 : 191,512.10 = 85,048.16 : x
  2. Step 2: Convert to fraction form
    138,773.50/191,512.10 = 85,048.16/x
  3. Step 3: Cross multiply
    138,773.50x = 191,512.10 × 85,048.16
  4. Step 4: Simplify right side
    138,773.50x = 16,287,751,722.74
  5. Step 5: Solve for x
    x = 16,287,751,722.74/138,773.50
  6. Step 6: Final answer
    x = 117,369.32

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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.