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Finding the Fourth Proportional to 78,297.30, 117,461.93 and 33,318.59

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Solution

The fourth proportional to 78,297.30, 117,461.93 and 33,318.59 is: 49,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,297.30 : 117,461.93 = 33,318.59 : x
  2. Step 2: Convert to fraction form
    78,297.30/117,461.93 = 33,318.59/x
  3. Step 3: Cross multiply
    78,297.30x = 117,461.93 × 33,318.59
  4. Step 4: Simplify right side
    78,297.30x = 3,913,665,132.38
  5. Step 5: Solve for x
    x = 3,913,665,132.38/78,297.30
  6. Step 6: Final answer
    x = 49,984.68

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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.