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Finding the Fourth Proportional to 138,219.59, 190,749.17 and 77,794.14

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Solution

The fourth proportional to 138,219.59, 190,749.17 and 77,794.14 is: 107,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,219.59 : 190,749.17 = 77,794.14 : x
  2. Step 2: Convert to fraction form
    138,219.59/190,749.17 = 77,794.14/x
  3. Step 3: Cross multiply
    138,219.59x = 190,749.17 × 77,794.14
  4. Step 4: Simplify right side
    138,219.59x = 14,839,168,253.93
  5. Step 5: Solve for x
    x = 14,839,168,253.93/138,219.59
  6. Step 6: Final answer
    x = 107,359.37

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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.