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Finding the Fourth Proportional to 66,942.78, 92,370.75 and 38,643

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Solution

The fourth proportional to 66,942.78, 92,370.75 and 38,643 is: 53,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.78 : 92,370.75 = 38,643 : x
  2. Step 2: Convert to fraction form
    66,942.78/92,370.75 = 38,643/x
  3. Step 3: Cross multiply
    66,942.78x = 92,370.75 × 38,643
  4. Step 4: Simplify right side
    66,942.78x = 3,569,482,892.25
  5. Step 5: Solve for x
    x = 3,569,482,892.25/66,942.78
  6. Step 6: Final answer
    x = 53,321.40

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1.5x scale

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.