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Finding the Fourth Proportional to 68,570.78, 102,778.10 and 42,937.10

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Solution

The fourth proportional to 68,570.78, 102,778.10 and 42,937.10 is: 64,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,570.78 : 102,778.10 = 42,937.10 : x
  2. Step 2: Convert to fraction form
    68,570.78/102,778.10 = 42,937.10/x
  3. Step 3: Cross multiply
    68,570.78x = 102,778.10 × 42,937.10
  4. Step 4: Simplify right side
    68,570.78x = 4,412,992,828.93
  5. Step 5: Solve for x
    x = 4,412,992,828.93/68,570.78
  6. Step 6: Final answer
    x = 64,356.75

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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.