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Finding the Fourth Proportional to 153,612, 211,984.56 and 82,956

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Solution

The fourth proportional to 153,612, 211,984.56 and 82,956 is: 114,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,612 : 211,984.56 = 82,956 : x
  2. Step 2: Convert to fraction form
    153,612/211,984.56 = 82,956/x
  3. Step 3: Cross multiply
    153,612x = 211,984.56 × 82,956
  4. Step 4: Simplify right side
    153,612x = 17,585,391,159.36
  5. Step 5: Solve for x
    x = 17,585,391,159.36/153,612
  6. Step 6: Final answer
    x = 114,479.28

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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.