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Finding the Fourth Proportional to 172,033.53, 258,134.84 and 77,330.63

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Solution

The fourth proportional to 172,033.53, 258,134.84 and 77,330.63 is: 116,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,033.53 : 258,134.84 = 77,330.63 : x
  2. Step 2: Convert to fraction form
    172,033.53/258,134.84 = 77,330.63/x
  3. Step 3: Cross multiply
    172,033.53x = 258,134.84 × 77,330.63
  4. Step 4: Simplify right side
    172,033.53x = 19,961,728,124.82
  5. Step 5: Solve for x
    x = 19,961,728,124.82/172,033.53
  6. Step 6: Final answer
    x = 116,033.94

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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.