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Finding the Fourth Proportional to 102,657.60, 153,986.40 and 27,789.30

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Solution

The fourth proportional to 102,657.60, 153,986.40 and 27,789.30 is: 41,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.60 : 153,986.40 = 27,789.30 : x
  2. Step 2: Convert to fraction form
    102,657.60/153,986.40 = 27,789.30/x
  3. Step 3: Cross multiply
    102,657.60x = 153,986.40 × 27,789.30
  4. Step 4: Simplify right side
    102,657.60x = 4,279,174,265.52
  5. Step 5: Solve for x
    x = 4,279,174,265.52/102,657.60
  6. Step 6: Final answer
    x = 41,683.95

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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.