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Finding the Fourth Proportional to 138,215.64, 207,241.65 and 53,877.35

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Solution

The fourth proportional to 138,215.64, 207,241.65 and 53,877.35 is: 80,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,215.64 : 207,241.65 = 53,877.35 : x
  2. Step 2: Convert to fraction form
    138,215.64/207,241.65 = 53,877.35/x
  3. Step 3: Cross multiply
    138,215.64x = 207,241.65 × 53,877.35
  4. Step 4: Simplify right side
    138,215.64x = 11,165,629,875.42
  5. Step 5: Solve for x
    x = 11,165,629,875.42/138,215.64
  6. Step 6: Final answer
    x = 80,784.13

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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.