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Finding the Fourth Proportional to 185,138.53, 255,300.06 and 158,369.65

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Solution

The fourth proportional to 185,138.53, 255,300.06 and 158,369.65 is: 218,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,138.53 : 255,300.06 = 158,369.65 : x
  2. Step 2: Convert to fraction form
    185,138.53/255,300.06 = 158,369.65/x
  3. Step 3: Cross multiply
    185,138.53x = 255,300.06 × 158,369.65
  4. Step 4: Simplify right side
    185,138.53x = 40,431,781,147.18
  5. Step 5: Solve for x
    x = 40,431,781,147.18/185,138.53
  6. Step 6: Final answer
    x = 218,386.64

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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.