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Finding the Fourth Proportional to 76,878.64, 106,092.66 and 42,889.36

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Solution

The fourth proportional to 76,878.64, 106,092.66 and 42,889.36 is: 59,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878.64 : 106,092.66 = 42,889.36 : x
  2. Step 2: Convert to fraction form
    76,878.64/106,092.66 = 42,889.36/x
  3. Step 3: Cross multiply
    76,878.64x = 106,092.66 × 42,889.36
  4. Step 4: Simplify right side
    76,878.64x = 4,550,246,288.10
  5. Step 5: Solve for x
    x = 4,550,246,288.10/76,878.64
  6. Step 6: Final answer
    x = 59,187.39

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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.