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Finding the Fourth Proportional to 230,658.16, 318,319.32 and 130,054

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Solution

The fourth proportional to 230,658.16, 318,319.32 and 130,054 is: 179,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,658.16 : 318,319.32 = 130,054 : x
  2. Step 2: Convert to fraction form
    230,658.16/318,319.32 = 130,054/x
  3. Step 3: Cross multiply
    230,658.16x = 318,319.32 × 130,054
  4. Step 4: Simplify right side
    230,658.16x = 41,398,700,843.28
  5. Step 5: Solve for x
    x = 41,398,700,843.28/230,658.16
  6. Step 6: Final answer
    x = 179,480.76

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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.