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Finding the Fourth Proportional to 76,867.76, 106,078.34 and 42,879.14

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Solution

The fourth proportional to 76,867.76, 106,078.34 and 42,879.14 is: 59,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,867.76 : 106,078.34 = 42,879.14 : x
  2. Step 2: Convert to fraction form
    76,867.76/106,078.34 = 42,879.14/x
  3. Step 3: Cross multiply
    76,867.76x = 106,078.34 × 42,879.14
  4. Step 4: Simplify right side
    76,867.76x = 4,548,547,991.83
  5. Step 5: Solve for x
    x = 4,548,547,991.83/76,867.76
  6. Step 6: Final answer
    x = 59,173.68

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1.5x scale

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.