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Finding the Fourth Proportional to 103,393.53, 142,679.46 and 63,174.60

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Solution

The fourth proportional to 103,393.53, 142,679.46 and 63,174.60 is: 87,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,393.53 : 142,679.46 = 63,174.60 : x
  2. Step 2: Convert to fraction form
    103,393.53/142,679.46 = 63,174.60/x
  3. Step 3: Cross multiply
    103,393.53x = 142,679.46 × 63,174.60
  4. Step 4: Simplify right side
    103,393.53x = 9,013,717,813.72
  5. Step 5: Solve for x
    x = 9,013,717,813.72/103,393.53
  6. Step 6: Final answer
    x = 87,178.74

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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.