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Finding the Fourth Proportional to 137,129.61, 189,256.39 and 76,703.61

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Solution

The fourth proportional to 137,129.61, 189,256.39 and 76,703.61 is: 105,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,129.61 : 189,256.39 = 76,703.61 : x
  2. Step 2: Convert to fraction form
    137,129.61/189,256.39 = 76,703.61/x
  3. Step 3: Cross multiply
    137,129.61x = 189,256.39 × 76,703.61
  4. Step 4: Simplify right side
    137,129.61x = 14,516,648,136.81
  5. Step 5: Solve for x
    x = 14,516,648,136.81/137,129.61
  6. Step 6: Final answer
    x = 105,860.78

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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.