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Finding the Fourth Proportional to 172,013.40, 258,019.88 and 112,835.03

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Solution

The fourth proportional to 172,013.40, 258,019.88 and 112,835.03 is: 169,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,013.40 : 258,019.88 = 112,835.03 : x
  2. Step 2: Convert to fraction form
    172,013.40/258,019.88 = 112,835.03/x
  3. Step 3: Cross multiply
    172,013.40x = 258,019.88 × 112,835.03
  4. Step 4: Simplify right side
    172,013.40x = 29,113,679,046.12
  5. Step 5: Solve for x
    x = 29,113,679,046.12/172,013.40
  6. Step 6: Final answer
    x = 169,252.39

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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.