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Finding the Fourth Proportional to 138,684.16, 208,047.84 and 45,168.16

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Solution

The fourth proportional to 138,684.16, 208,047.84 and 45,168.16 is: 67,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,684.16 : 208,047.84 = 45,168.16 : x
  2. Step 2: Convert to fraction form
    138,684.16/208,047.84 = 45,168.16/x
  3. Step 3: Cross multiply
    138,684.16x = 208,047.84 × 45,168.16
  4. Step 4: Simplify right side
    138,684.16x = 9,397,138,124.77
  5. Step 5: Solve for x
    x = 9,397,138,124.77/138,684.16
  6. Step 6: Final answer
    x = 67,759.27

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1.5x scale

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.