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Finding the Fourth Proportional to 138,024, 206,913.08 and 53,764.46

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Solution

The fourth proportional to 138,024, 206,913.08 and 53,764.46 is: 80,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,024 : 206,913.08 = 53,764.46 : x
  2. Step 2: Convert to fraction form
    138,024/206,913.08 = 53,764.46/x
  3. Step 3: Cross multiply
    138,024x = 206,913.08 × 53,764.46
  4. Step 4: Simplify right side
    138,024x = 11,124,569,888.91
  5. Step 5: Solve for x
    x = 11,124,569,888.91/138,024
  6. Step 6: Final answer
    x = 80,598.81

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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.