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Finding the Fourth Proportional to 172,534, 258,801 and 47,875

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Solution

The fourth proportional to 172,534, 258,801 and 47,875 is: 71,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,534 : 258,801 = 47,875 : x
  2. Step 2: Convert to fraction form
    172,534/258,801 = 47,875/x
  3. Step 3: Cross multiply
    172,534x = 258,801 × 47,875
  4. Step 4: Simplify right side
    172,534x = 12,390,097,875
  5. Step 5: Solve for x
    x = 12,390,097,875/172,534
  6. Step 6: Final answer
    x = 71,812.50

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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.