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Finding the Fourth Proportional to 172,152, 258,237.72 and 61,344

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Solution

The fourth proportional to 172,152, 258,237.72 and 61,344 is: 92,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,152 : 258,237.72 = 61,344 : x
  2. Step 2: Convert to fraction form
    172,152/258,237.72 = 61,344/x
  3. Step 3: Cross multiply
    172,152x = 258,237.72 × 61,344
  4. Step 4: Simplify right side
    172,152x = 15,841,334,695.68
  5. Step 5: Solve for x
    x = 15,841,334,695.68/172,152
  6. Step 6: Final answer
    x = 92,019.46

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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.