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Finding the Fourth Proportional to 211,785.64, 317,256.63 and 154,979.23

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Solution

The fourth proportional to 211,785.64, 317,256.63 and 154,979.23 is: 232,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785.64 : 317,256.63 = 154,979.23 : x
  2. Step 2: Convert to fraction form
    211,785.64/317,256.63 = 154,979.23/x
  3. Step 3: Cross multiply
    211,785.64x = 317,256.63 × 154,979.23
  4. Step 4: Simplify right side
    211,785.64x = 49,168,188,229.79
  5. Step 5: Solve for x
    x = 49,168,188,229.79/211,785.64
  6. Step 6: Final answer
    x = 232,160.16

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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.