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Finding the Fourth Proportional to 172,577, 258,865.50 and 47,918.12

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Solution

The fourth proportional to 172,577, 258,865.50 and 47,918.12 is: 71,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,577 : 258,865.50 = 47,918.12 : x
  2. Step 2: Convert to fraction form
    172,577/258,865.50 = 47,918.12/x
  3. Step 3: Cross multiply
    172,577x = 258,865.50 × 47,918.12
  4. Step 4: Simplify right side
    172,577x = 12,404,348,092.86
  5. Step 5: Solve for x
    x = 12,404,348,092.86/172,577
  6. Step 6: Final answer
    x = 71,877.18

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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.