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Finding the Fourth Proportional to 47,872.67, 71,872.62 and 40,897.51

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Solution

The fourth proportional to 47,872.67, 71,872.62 and 40,897.51 is: 61,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.67 : 71,872.62 = 40,897.51 : x
  2. Step 2: Convert to fraction form
    47,872.67/71,872.62 = 40,897.51/x
  3. Step 3: Cross multiply
    47,872.67x = 71,872.62 × 40,897.51
  4. Step 4: Simplify right side
    47,872.67x = 2,939,410,862.13
  5. Step 5: Solve for x
    x = 2,939,410,862.13/47,872.67
  6. Step 6: Final answer
    x = 61,400.60

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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.