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Finding the Fourth Proportional to 172,308.16, 258,433.08 and 47,620

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Solution

The fourth proportional to 172,308.16, 258,433.08 and 47,620 is: 71,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,308.16 : 258,433.08 = 47,620 : x
  2. Step 2: Convert to fraction form
    172,308.16/258,433.08 = 47,620/x
  3. Step 3: Cross multiply
    172,308.16x = 258,433.08 × 47,620
  4. Step 4: Simplify right side
    172,308.16x = 12,306,583,269.60
  5. Step 5: Solve for x
    x = 12,306,583,269.60/172,308.16
  6. Step 6: Final answer
    x = 71,421.94

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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.