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Finding the Fourth Proportional to 137,296.71, 189,468.54 and 76,867.11

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Solution

The fourth proportional to 137,296.71, 189,468.54 and 76,867.11 is: 106,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,296.71 : 189,468.54 = 76,867.11 : x
  2. Step 2: Convert to fraction form
    137,296.71/189,468.54 = 76,867.11/x
  3. Step 3: Cross multiply
    137,296.71x = 189,468.54 × 76,867.11
  4. Step 4: Simplify right side
    137,296.71x = 14,563,899,105.72
  5. Step 5: Solve for x
    x = 14,563,899,105.72/137,296.71
  6. Step 6: Final answer
    x = 106,076.10

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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.