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Finding the Fourth Proportional to 142,366.64, 213,679.32 and 75,863.60

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Solution

The fourth proportional to 142,366.64, 213,679.32 and 75,863.60 is: 113,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,366.64 : 213,679.32 = 75,863.60 : x
  2. Step 2: Convert to fraction form
    142,366.64/213,679.32 = 75,863.60/x
  3. Step 3: Cross multiply
    142,366.64x = 213,679.32 × 75,863.60
  4. Step 4: Simplify right side
    142,366.64x = 16,210,482,460.75
  5. Step 5: Solve for x
    x = 16,210,482,460.75/142,366.64
  6. Step 6: Final answer
    x = 113,864.33

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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.