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Finding the Fourth Proportional to 206,886.46, 310,323.52 and 57,135.90

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Solution

The fourth proportional to 206,886.46, 310,323.52 and 57,135.90 is: 85,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886.46 : 310,323.52 = 57,135.90 : x
  2. Step 2: Convert to fraction form
    206,886.46/310,323.52 = 57,135.90/x
  3. Step 3: Cross multiply
    206,886.46x = 310,323.52 × 57,135.90
  4. Step 4: Simplify right side
    206,886.46x = 17,730,613,606.37
  5. Step 5: Solve for x
    x = 17,730,613,606.37/206,886.46
  6. Step 6: Final answer
    x = 85,702.15

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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.