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Finding the Fourth Proportional to 142,305.40, 213,458.10 and 123,873.40

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Solution

The fourth proportional to 142,305.40, 213,458.10 and 123,873.40 is: 185,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,305.40 : 213,458.10 = 123,873.40 : x
  2. Step 2: Convert to fraction form
    142,305.40/213,458.10 = 123,873.40/x
  3. Step 3: Cross multiply
    142,305.40x = 213,458.10 × 123,873.40
  4. Step 4: Simplify right side
    142,305.40x = 26,441,780,604.54
  5. Step 5: Solve for x
    x = 26,441,780,604.54/142,305.40
  6. Step 6: Final answer
    x = 185,810.10

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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.