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Finding the Fourth Proportional to 76,878, 106,092.47 and 42,886.22

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Solution

The fourth proportional to 76,878, 106,092.47 and 42,886.22 is: 59,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878 : 106,092.47 = 42,886.22 : x
  2. Step 2: Convert to fraction form
    76,878/106,092.47 = 42,886.22/x
  3. Step 3: Cross multiply
    76,878x = 106,092.47 × 42,886.22
  4. Step 4: Simplify right side
    76,878x = 4,549,904,478.30
  5. Step 5: Solve for x
    x = 4,549,904,478.30/76,878
  6. Step 6: Final answer
    x = 59,183.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.