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Finding the Fourth Proportional to 76,844.52, 106,041.32 and 42,856.48

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Solution

The fourth proportional to 76,844.52, 106,041.32 and 42,856.48 is: 59,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,844.52 : 106,041.32 = 42,856.48 : x
  2. Step 2: Convert to fraction form
    76,844.52/106,041.32 = 42,856.48/x
  3. Step 3: Cross multiply
    76,844.52x = 106,041.32 × 42,856.48
  4. Step 4: Simplify right side
    76,844.52x = 4,544,557,709.75
  5. Step 5: Solve for x
    x = 4,544,557,709.75/76,844.52
  6. Step 6: Final answer
    x = 59,139.65

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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.