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Finding the Fourth Proportional to 172,702.04, 258,678.09 and 83,768.63

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Solution

The fourth proportional to 172,702.04, 258,678.09 and 83,768.63 is: 125,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,702.04 : 258,678.09 = 83,768.63 : x
  2. Step 2: Convert to fraction form
    172,702.04/258,678.09 = 83,768.63/x
  3. Step 3: Cross multiply
    172,702.04x = 258,678.09 × 83,768.63
  4. Step 4: Simplify right side
    172,702.04x = 21,669,107,916.93
  5. Step 5: Solve for x
    x = 21,669,107,916.93/172,702.04
  6. Step 6: Final answer
    x = 125,471.06

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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.