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Finding the Fourth Proportional to 206,916.05, 310,365.47 and 72,011.03

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Solution

The fourth proportional to 206,916.05, 310,365.47 and 72,011.03 is: 108,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,916.05 : 310,365.47 = 72,011.03 : x
  2. Step 2: Convert to fraction form
    206,916.05/310,365.47 = 72,011.03/x
  3. Step 3: Cross multiply
    206,916.05x = 310,365.47 × 72,011.03
  4. Step 4: Simplify right side
    206,916.05x = 22,349,735,799.33
  5. Step 5: Solve for x
    x = 22,349,735,799.33/206,916.05
  6. Step 6: Final answer
    x = 108,013.54

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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.