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Finding the Fourth Proportional to 142,431.87, 213,541.41 and 86,258.32

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Solution

The fourth proportional to 142,431.87, 213,541.41 and 86,258.32 is: 129,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,431.87 : 213,541.41 = 86,258.32 : x
  2. Step 2: Convert to fraction form
    142,431.87/213,541.41 = 86,258.32/x
  3. Step 3: Cross multiply
    142,431.87x = 213,541.41 × 86,258.32
  4. Step 4: Simplify right side
    142,431.87x = 18,419,723,066.65
  5. Step 5: Solve for x
    x = 18,419,723,066.65/142,431.87
  6. Step 6: Final answer
    x = 129,323.05

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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.