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Finding the Fourth Proportional to 302,103, 416,902.14 and 166,139.40

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Solution

The fourth proportional to 302,103, 416,902.14 and 166,139.40 is: 229,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,103 : 416,902.14 = 166,139.40 : x
  2. Step 2: Convert to fraction form
    302,103/416,902.14 = 166,139.40/x
  3. Step 3: Cross multiply
    302,103x = 416,902.14 × 166,139.40
  4. Step 4: Simplify right side
    302,103x = 69,263,871,398.32
  5. Step 5: Solve for x
    x = 69,263,871,398.32/302,103
  6. Step 6: Final answer
    x = 229,272.37

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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.