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Finding the Fourth Proportional to 216,419.63, 298,653.51 and 120,927.11

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Solution

The fourth proportional to 216,419.63, 298,653.51 and 120,927.11 is: 166,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,419.63 : 298,653.51 = 120,927.11 : x
  2. Step 2: Convert to fraction form
    216,419.63/298,653.51 = 120,927.11/x
  3. Step 3: Cross multiply
    216,419.63x = 298,653.51 × 120,927.11
  4. Step 4: Simplify right side
    216,419.63x = 36,115,304,815.87
  5. Step 5: Solve for x
    x = 36,115,304,815.87/216,419.63
  6. Step 6: Final answer
    x = 166,876.29

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1.5x scale

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.