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Finding the Fourth Proportional to 137,179.91, 189,315.62 and 76,746.96

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Solution

The fourth proportional to 137,179.91, 189,315.62 and 76,746.96 is: 105,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,179.91 : 189,315.62 = 76,746.96 : x
  2. Step 2: Convert to fraction form
    137,179.91/189,315.62 = 76,746.96/x
  3. Step 3: Cross multiply
    137,179.91x = 189,315.62 × 76,746.96
  4. Step 4: Simplify right side
    137,179.91x = 14,529,398,315.52
  5. Step 5: Solve for x
    x = 14,529,398,315.52/137,179.91
  6. Step 6: Final answer
    x = 105,914.91

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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.