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Finding the Fourth Proportional to 153,987.82, 212,497.20 and 96,658.06

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Solution

The fourth proportional to 153,987.82, 212,497.20 and 96,658.06 is: 133,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,987.82 : 212,497.20 = 96,658.06 : x
  2. Step 2: Convert to fraction form
    153,987.82/212,497.20 = 96,658.06/x
  3. Step 3: Cross multiply
    153,987.82x = 212,497.20 × 96,658.06
  4. Step 4: Simplify right side
    153,987.82x = 20,539,567,107.43
  5. Step 5: Solve for x
    x = 20,539,567,107.43/153,987.82
  6. Step 6: Final answer
    x = 133,384.36

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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.