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Finding the Fourth Proportional to 172,078, 258,126.72 and 61,270

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Solution

The fourth proportional to 172,078, 258,126.72 and 61,270 is: 91,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,078 : 258,126.72 = 61,270 : x
  2. Step 2: Convert to fraction form
    172,078/258,126.72 = 61,270/x
  3. Step 3: Cross multiply
    172,078x = 258,126.72 × 61,270
  4. Step 4: Simplify right side
    172,078x = 15,815,424,134.40
  5. Step 5: Solve for x
    x = 15,815,424,134.40/172,078
  6. Step 6: Final answer
    x = 91,908.46

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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.