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Finding the Fourth Proportional to 100,976.64, 139,348.72 and 55,654.70

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Solution

The fourth proportional to 100,976.64, 139,348.72 and 55,654.70 is: 76,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,976.64 : 139,348.72 = 55,654.70 : x
  2. Step 2: Convert to fraction form
    100,976.64/139,348.72 = 55,654.70/x
  3. Step 3: Cross multiply
    100,976.64x = 139,348.72 × 55,654.70
  4. Step 4: Simplify right side
    100,976.64x = 7,755,411,206.98
  5. Step 5: Solve for x
    x = 7,755,411,206.98/100,976.64
  6. Step 6: Final answer
    x = 76,804.01

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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.