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Finding the Fourth Proportional to 138,833.39, 191,492.64 and 85,139.81

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Solution

The fourth proportional to 138,833.39, 191,492.64 and 85,139.81 is: 117,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,833.39 : 191,492.64 = 85,139.81 : x
  2. Step 2: Convert to fraction form
    138,833.39/191,492.64 = 85,139.81/x
  3. Step 3: Cross multiply
    138,833.39x = 191,492.64 × 85,139.81
  4. Step 4: Simplify right side
    138,833.39x = 16,303,646,028.54
  5. Step 5: Solve for x
    x = 16,303,646,028.54/138,833.39
  6. Step 6: Final answer
    x = 117,433.17

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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.