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Finding the Fourth Proportional to 172,539, 258,808.50 and 47,880

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Solution

The fourth proportional to 172,539, 258,808.50 and 47,880 is: 71,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,539 : 258,808.50 = 47,880 : x
  2. Step 2: Convert to fraction form
    172,539/258,808.50 = 47,880/x
  3. Step 3: Cross multiply
    172,539x = 258,808.50 × 47,880
  4. Step 4: Simplify right side
    172,539x = 12,391,750,980
  5. Step 5: Solve for x
    x = 12,391,750,980/172,539
  6. Step 6: Final answer
    x = 71,820

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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.