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Finding the Fourth Proportional to 138,771.95, 191,505.98 and 78,345.05

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Solution

The fourth proportional to 138,771.95, 191,505.98 and 78,345.05 is: 108,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771.95 : 191,505.98 = 78,345.05 : x
  2. Step 2: Convert to fraction form
    138,771.95/191,505.98 = 78,345.05/x
  3. Step 3: Cross multiply
    138,771.95x = 191,505.98 × 78,345.05
  4. Step 4: Simplify right side
    138,771.95x = 15,003,545,578.40
  5. Step 5: Solve for x
    x = 15,003,545,578.40/138,771.95
  6. Step 6: Final answer
    x = 108,116.56

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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.