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Finding the Fourth Proportional to 211,872.64, 317,538.66 and 99,304.52

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Solution

The fourth proportional to 211,872.64, 317,538.66 and 99,304.52 is: 148,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,872.64 : 317,538.66 = 99,304.52 : x
  2. Step 2: Convert to fraction form
    211,872.64/317,538.66 = 99,304.52/x
  3. Step 3: Cross multiply
    211,872.64x = 317,538.66 × 99,304.52
  4. Step 4: Simplify right side
    211,872.64x = 31,533,024,212.74
  5. Step 5: Solve for x
    x = 31,533,024,212.74/211,872.64
  6. Step 6: Final answer
    x = 148,830.09

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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.