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Finding the Fourth Proportional to 136,490.94, 204,606.81 and 47,686.59

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Solution

The fourth proportional to 136,490.94, 204,606.81 and 47,686.59 is: 71,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,490.94 : 204,606.81 = 47,686.59 : x
  2. Step 2: Convert to fraction form
    136,490.94/204,606.81 = 47,686.59/x
  3. Step 3: Cross multiply
    136,490.94x = 204,606.81 × 47,686.59
  4. Step 4: Simplify right side
    136,490.94x = 9,757,001,059.68
  5. Step 5: Solve for x
    x = 9,757,001,059.68/136,490.94
  6. Step 6: Final answer
    x = 71,484.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.