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Finding the Fourth Proportional to 117,406.70, 161,959.19 and 83,428.92

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Solution

The fourth proportional to 117,406.70, 161,959.19 and 83,428.92 is: 115,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,406.70 : 161,959.19 = 83,428.92 : x
  2. Step 2: Convert to fraction form
    117,406.70/161,959.19 = 83,428.92/x
  3. Step 3: Cross multiply
    117,406.70x = 161,959.19 × 83,428.92
  4. Step 4: Simplify right side
    117,406.70x = 13,512,079,888.63
  5. Step 5: Solve for x
    x = 13,512,079,888.63/117,406.70
  6. Step 6: Final answer
    x = 115,087.81

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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.