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Finding the Fourth Proportional to 172,509, 258,763.50 and 47,850

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Solution

The fourth proportional to 172,509, 258,763.50 and 47,850 is: 71,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,509 : 258,763.50 = 47,850 : x
  2. Step 2: Convert to fraction form
    172,509/258,763.50 = 47,850/x
  3. Step 3: Cross multiply
    172,509x = 258,763.50 × 47,850
  4. Step 4: Simplify right side
    172,509x = 12,381,833,475
  5. Step 5: Solve for x
    x = 12,381,833,475/172,509
  6. Step 6: Final answer
    x = 71,775

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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.