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Finding the Fourth Proportional to 172,341.36, 258,511.68 and 47,682

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Solution

The fourth proportional to 172,341.36, 258,511.68 and 47,682 is: 71,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,341.36 : 258,511.68 = 47,682 : x
  2. Step 2: Convert to fraction form
    172,341.36/258,511.68 = 47,682/x
  3. Step 3: Cross multiply
    172,341.36x = 258,511.68 × 47,682
  4. Step 4: Simplify right side
    172,341.36x = 12,326,353,925.76
  5. Step 5: Solve for x
    x = 12,326,353,925.76/172,341.36
  6. Step 6: Final answer
    x = 71,522.90

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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.