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Finding the Fourth Proportional to 216,458.08, 298,711.62 and 120,964.78

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Solution

The fourth proportional to 216,458.08, 298,711.62 and 120,964.78 is: 166,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,458.08 : 298,711.62 = 120,964.78 : x
  2. Step 2: Convert to fraction form
    216,458.08/298,711.62 = 120,964.78/x
  3. Step 3: Cross multiply
    216,458.08x = 298,711.62 × 120,964.78
  4. Step 4: Simplify right side
    216,458.08x = 36,133,585,396.74
  5. Step 5: Solve for x
    x = 36,133,585,396.74/216,458.08
  6. Step 6: Final answer
    x = 166,931.10

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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.