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Finding the Fourth Proportional to 114,705, 172,057.50 and 31,599

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Solution

The fourth proportional to 114,705, 172,057.50 and 31,599 is: 47,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705 : 172,057.50 = 31,599 : x
  2. Step 2: Convert to fraction form
    114,705/172,057.50 = 31,599/x
  3. Step 3: Cross multiply
    114,705x = 172,057.50 × 31,599
  4. Step 4: Simplify right side
    114,705x = 5,436,844,942.50
  5. Step 5: Solve for x
    x = 5,436,844,942.50/114,705
  6. Step 6: Final answer
    x = 47,398.50

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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.