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Finding the Fourth Proportional to 215,071, 296,797.98 and 120,863

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Solution

The fourth proportional to 215,071, 296,797.98 and 120,863 is: 166,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,071 : 296,797.98 = 120,863 : x
  2. Step 2: Convert to fraction form
    215,071/296,797.98 = 120,863/x
  3. Step 3: Cross multiply
    215,071x = 296,797.98 × 120,863
  4. Step 4: Simplify right side
    215,071x = 35,871,894,256.74
  5. Step 5: Solve for x
    x = 35,871,894,256.74/215,071
  6. Step 6: Final answer
    x = 166,790.94

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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.