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Finding the Fourth Proportional to 215,871.81, 297,904.40 and 120,384.55

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Solution

The fourth proportional to 215,871.81, 297,904.40 and 120,384.55 is: 166,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,871.81 : 297,904.40 = 120,384.55 : x
  2. Step 2: Convert to fraction form
    215,871.81/297,904.40 = 120,384.55/x
  3. Step 3: Cross multiply
    215,871.81x = 297,904.40 × 120,384.55
  4. Step 4: Simplify right side
    215,871.81x = 35,863,087,137.02
  5. Step 5: Solve for x
    x = 35,863,087,137.02/215,871.81
  6. Step 6: Final answer
    x = 166,131.41

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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.