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Finding the Fourth Proportional to 129,040, 193,560 and 35,545.76

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Solution

The fourth proportional to 129,040, 193,560 and 35,545.76 is: 53,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,040 : 193,560 = 35,545.76 : x
  2. Step 2: Convert to fraction form
    129,040/193,560 = 35,545.76/x
  3. Step 3: Cross multiply
    129,040x = 193,560 × 35,545.76
  4. Step 4: Simplify right side
    129,040x = 6,880,237,305.60
  5. Step 5: Solve for x
    x = 6,880,237,305.60/129,040
  6. Step 6: Final answer
    x = 53,318.64

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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.