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Finding the Fourth Proportional to 66,683.52, 91,896 and 47,787.84

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Solution

The fourth proportional to 66,683.52, 91,896 and 47,787.84 is: 65,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,683.52 : 91,896 = 47,787.84 : x
  2. Step 2: Convert to fraction form
    66,683.52/91,896 = 47,787.84/x
  3. Step 3: Cross multiply
    66,683.52x = 91,896 × 47,787.84
  4. Step 4: Simplify right side
    66,683.52x = 4,391,511,344.64
  5. Step 5: Solve for x
    x = 4,391,511,344.64/66,683.52
  6. Step 6: Final answer
    x = 65,856.02

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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.