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Finding the Fourth Proportional to 71,678.78, 98,908.24 and 42,602.62

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Solution

The fourth proportional to 71,678.78, 98,908.24 and 42,602.62 is: 58,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.78 : 98,908.24 = 42,602.62 : x
  2. Step 2: Convert to fraction form
    71,678.78/98,908.24 = 42,602.62/x
  3. Step 3: Cross multiply
    71,678.78x = 98,908.24 × 42,602.62
  4. Step 4: Simplify right side
    71,678.78x = 4,213,750,163.59
  5. Step 5: Solve for x
    x = 4,213,750,163.59/71,678.78
  6. Step 6: Final answer
    x = 58,786.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.