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Finding the Fourth Proportional to 206,843.30, 310,322.55 and 101,665.70

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Solution

The fourth proportional to 206,843.30, 310,322.55 and 101,665.70 is: 152,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.30 : 310,322.55 = 101,665.70 : x
  2. Step 2: Convert to fraction form
    206,843.30/310,322.55 = 101,665.70/x
  3. Step 3: Cross multiply
    206,843.30x = 310,322.55 × 101,665.70
  4. Step 4: Simplify right side
    206,843.30x = 31,549,159,271.54
  5. Step 5: Solve for x
    x = 31,549,159,271.54/206,843.30
  6. Step 6: Final answer
    x = 152,526.86

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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.