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Finding the Fourth Proportional to 51,898, 77,644.62 and 39,454

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Solution

The fourth proportional to 51,898, 77,644.62 and 39,454 is: 59,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898 : 77,644.62 = 39,454 : x
  2. Step 2: Convert to fraction form
    51,898/77,644.62 = 39,454/x
  3. Step 3: Cross multiply
    51,898x = 77,644.62 × 39,454
  4. Step 4: Simplify right side
    51,898x = 3,063,390,837.48
  5. Step 5: Solve for x
    x = 3,063,390,837.48/51,898
  6. Step 6: Final answer
    x = 59,027.15

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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.