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Finding the Fourth Proportional to 137,129.86, 189,256.74 and 76,703.86

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Solution

The fourth proportional to 137,129.86, 189,256.74 and 76,703.86 is: 105,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,129.86 : 189,256.74 = 76,703.86 : x
  2. Step 2: Convert to fraction form
    137,129.86/189,256.74 = 76,703.86/x
  3. Step 3: Cross multiply
    137,129.86x = 189,256.74 × 76,703.86
  4. Step 4: Simplify right side
    137,129.86x = 14,516,722,105.50
  5. Step 5: Solve for x
    x = 14,516,722,105.50/137,129.86
  6. Step 6: Final answer
    x = 105,861.13

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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.