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Finding the Fourth Proportional to 151,635, 227,452.50 and 53,139

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Solution

The fourth proportional to 151,635, 227,452.50 and 53,139 is: 79,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,635 : 227,452.50 = 53,139 : x
  2. Step 2: Convert to fraction form
    151,635/227,452.50 = 53,139/x
  3. Step 3: Cross multiply
    151,635x = 227,452.50 × 53,139
  4. Step 4: Simplify right side
    151,635x = 12,086,598,397.50
  5. Step 5: Solve for x
    x = 12,086,598,397.50/151,635
  6. Step 6: Final answer
    x = 79,708.50

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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.