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Finding the Fourth Proportional to 137,305.92, 189,473 and 76,866.36

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Solution

The fourth proportional to 137,305.92, 189,473 and 76,866.36 is: 106,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,305.92 : 189,473 = 76,866.36 : x
  2. Step 2: Convert to fraction form
    137,305.92/189,473 = 76,866.36/x
  3. Step 3: Cross multiply
    137,305.92x = 189,473 × 76,866.36
  4. Step 4: Simplify right side
    137,305.92x = 14,564,099,828.28
  5. Step 5: Solve for x
    x = 14,564,099,828.28/137,305.92
  6. Step 6: Final answer
    x = 106,070.44

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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.