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Finding the Fourth Proportional to 66,594.28, 91,902.91 and 38,300

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Solution

The fourth proportional to 66,594.28, 91,902.91 and 38,300 is: 52,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,594.28 : 91,902.91 = 38,300 : x
  2. Step 2: Convert to fraction form
    66,594.28/91,902.91 = 38,300/x
  3. Step 3: Cross multiply
    66,594.28x = 91,902.91 × 38,300
  4. Step 4: Simplify right side
    66,594.28x = 3,519,881,453
  5. Step 5: Solve for x
    x = 3,519,881,453/66,594.28
  6. Step 6: Final answer
    x = 52,855.61

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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.