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Finding the Fourth Proportional to 265,079.96, 397,869.05 and 138,810.82

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Solution

The fourth proportional to 265,079.96, 397,869.05 and 138,810.82 is: 208,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,079.96 : 397,869.05 = 138,810.82 : x
  2. Step 2: Convert to fraction form
    265,079.96/397,869.05 = 138,810.82/x
  3. Step 3: Cross multiply
    265,079.96x = 397,869.05 × 138,810.82
  4. Step 4: Simplify right side
    265,079.96x = 55,228,529,083.12
  5. Step 5: Solve for x
    x = 55,228,529,083.12/265,079.96
  6. Step 6: Final answer
    x = 208,346.68

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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.