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Finding the Fourth Proportional to 230,723.56, 318,406.14 and 133,920.16

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Solution

The fourth proportional to 230,723.56, 318,406.14 and 133,920.16 is: 184,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,723.56 : 318,406.14 = 133,920.16 : x
  2. Step 2: Convert to fraction form
    230,723.56/318,406.14 = 133,920.16/x
  3. Step 3: Cross multiply
    230,723.56x = 318,406.14 × 133,920.16
  4. Step 4: Simplify right side
    230,723.56x = 42,641,001,213.78
  5. Step 5: Solve for x
    x = 42,641,001,213.78/230,723.56
  6. Step 6: Final answer
    x = 184,814.25

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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.