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Finding the Fourth Proportional to 230,871.78, 318,578.77 and 134,056.71

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Solution

The fourth proportional to 230,871.78, 318,578.77 and 134,056.71 is: 184,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,871.78 : 318,578.77 = 134,056.71 : x
  2. Step 2: Convert to fraction form
    230,871.78/318,578.77 = 134,056.71/x
  3. Step 3: Cross multiply
    230,871.78x = 318,578.77 × 134,056.71
  4. Step 4: Simplify right side
    230,871.78x = 42,707,621,782.05
  5. Step 5: Solve for x
    x = 42,707,621,782.05/230,871.78
  6. Step 6: Final answer
    x = 184,984.16

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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.