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Finding the Fourth Proportional to 206,870.31, 310,360.83 and 112,078.17

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Solution

The fourth proportional to 206,870.31, 310,360.83 and 112,078.17 is: 168,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,870.31 : 310,360.83 = 112,078.17 : x
  2. Step 2: Convert to fraction form
    206,870.31/310,360.83 = 112,078.17/x
  3. Step 3: Cross multiply
    206,870.31x = 310,360.83 × 112,078.17
  4. Step 4: Simplify right side
    206,870.31x = 34,784,673,866.08
  5. Step 5: Solve for x
    x = 34,784,673,866.08/206,870.31
  6. Step 6: Final answer
    x = 168,147.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.