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Finding the Fourth Proportional to 52,641.78, 78,967.74 and 21,044.30

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Solution

The fourth proportional to 52,641.78, 78,967.74 and 21,044.30 is: 31,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641.78 : 78,967.74 = 21,044.30 : x
  2. Step 2: Convert to fraction form
    52,641.78/78,967.74 = 21,044.30/x
  3. Step 3: Cross multiply
    52,641.78x = 78,967.74 × 21,044.30
  4. Step 4: Simplify right side
    52,641.78x = 1,661,820,810.88
  5. Step 5: Solve for x
    x = 1,661,820,810.88/52,641.78
  6. Step 6: Final answer
    x = 31,568.48

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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.