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Finding the Fourth Proportional to 206,807.04, 310,302.72 and 108,288

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Solution

The fourth proportional to 206,807.04, 310,302.72 and 108,288 is: 162,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,807.04 : 310,302.72 = 108,288 : x
  2. Step 2: Convert to fraction form
    206,807.04/310,302.72 = 108,288/x
  3. Step 3: Cross multiply
    206,807.04x = 310,302.72 × 108,288
  4. Step 4: Simplify right side
    206,807.04x = 33,602,060,943.36
  5. Step 5: Solve for x
    x = 33,602,060,943.36/206,807.04
  6. Step 6: Final answer
    x = 162,480.26

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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.