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Finding the Fourth Proportional to 216,513, 298,787.94 and 121,017.65

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Solution

The fourth proportional to 216,513, 298,787.94 and 121,017.65 is: 167,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,513 : 298,787.94 = 121,017.65 : x
  2. Step 2: Convert to fraction form
    216,513/298,787.94 = 121,017.65/x
  3. Step 3: Cross multiply
    216,513x = 298,787.94 × 121,017.65
  4. Step 4: Simplify right side
    216,513x = 36,158,612,853.20
  5. Step 5: Solve for x
    x = 36,158,612,853.20/216,513
  6. Step 6: Final answer
    x = 167,004.35

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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.