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Finding the Fourth Proportional to 215,070, 296,796.60 and 120,862

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Solution

The fourth proportional to 215,070, 296,796.60 and 120,862 is: 166,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,070 : 296,796.60 = 120,862 : x
  2. Step 2: Convert to fraction form
    215,070/296,796.60 = 120,862/x
  3. Step 3: Cross multiply
    215,070x = 296,796.60 × 120,862
  4. Step 4: Simplify right side
    215,070x = 35,871,430,669.20
  5. Step 5: Solve for x
    x = 35,871,430,669.20/215,070
  6. Step 6: Final answer
    x = 166,789.56

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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.