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Finding the Fourth Proportional to 129,133.92, 193,712 and 35,639.66

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Solution

The fourth proportional to 129,133.92, 193,712 and 35,639.66 is: 53,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,133.92 : 193,712 = 35,639.66 : x
  2. Step 2: Convert to fraction form
    129,133.92/193,712 = 35,639.66/x
  3. Step 3: Cross multiply
    129,133.92x = 193,712 × 35,639.66
  4. Step 4: Simplify right side
    129,133.92x = 6,903,829,817.92
  5. Step 5: Solve for x
    x = 6,903,829,817.92/129,133.92
  6. Step 6: Final answer
    x = 53,462.56

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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.