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Finding the Fourth Proportional to 66,864.76, 100,306.80 and 35,683

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Solution

The fourth proportional to 66,864.76, 100,306.80 and 35,683 is: 53,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,864.76 : 100,306.80 = 35,683 : x
  2. Step 2: Convert to fraction form
    66,864.76/100,306.80 = 35,683/x
  3. Step 3: Cross multiply
    66,864.76x = 100,306.80 × 35,683
  4. Step 4: Simplify right side
    66,864.76x = 3,579,247,544.40
  5. Step 5: Solve for x
    x = 3,579,247,544.40/66,864.76
  6. Step 6: Final answer
    x = 53,529.66

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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.