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Finding the Fourth Proportional to 138,919, 191,709.55 and 75,258.17

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Solution

The fourth proportional to 138,919, 191,709.55 and 75,258.17 is: 103,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,919 : 191,709.55 = 75,258.17 : x
  2. Step 2: Convert to fraction form
    138,919/191,709.55 = 75,258.17/x
  3. Step 3: Cross multiply
    138,919x = 191,709.55 × 75,258.17
  4. Step 4: Simplify right side
    138,919x = 14,427,709,904.52
  5. Step 5: Solve for x
    x = 14,427,709,904.52/138,919
  6. Step 6: Final answer
    x = 103,857.00

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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.