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Finding the Fourth Proportional to 85,653.64, 118,205.22 and 47,928.16

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Solution

The fourth proportional to 85,653.64, 118,205.22 and 47,928.16 is: 66,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,653.64 : 118,205.22 = 47,928.16 : x
  2. Step 2: Convert to fraction form
    85,653.64/118,205.22 = 47,928.16/x
  3. Step 3: Cross multiply
    85,653.64x = 118,205.22 × 47,928.16
  4. Step 4: Simplify right side
    85,653.64x = 5,665,358,697.00
  5. Step 5: Solve for x
    x = 5,665,358,697.00/85,653.64
  6. Step 6: Final answer
    x = 66,142.65

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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.