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Finding the Fourth Proportional to 217,332.84, 299,913.90 and 120,536.28

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Solution

The fourth proportional to 217,332.84, 299,913.90 and 120,536.28 is: 166,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,332.84 : 299,913.90 = 120,536.28 : x
  2. Step 2: Convert to fraction form
    217,332.84/299,913.90 = 120,536.28/x
  3. Step 3: Cross multiply
    217,332.84x = 299,913.90 × 120,536.28
  4. Step 4: Simplify right side
    217,332.84x = 36,150,505,826.29
  5. Step 5: Solve for x
    x = 36,150,505,826.29/217,332.84
  6. Step 6: Final answer
    x = 166,337.06

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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.