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Finding the Fourth Proportional to 100,700.60, 138,970.40 and 55,382.09

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Solution

The fourth proportional to 100,700.60, 138,970.40 and 55,382.09 is: 76,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.60 : 138,970.40 = 55,382.09 : x
  2. Step 2: Convert to fraction form
    100,700.60/138,970.40 = 55,382.09/x
  3. Step 3: Cross multiply
    100,700.60x = 138,970.40 × 55,382.09
  4. Step 4: Simplify right side
    100,700.60x = 7,696,471,010.08
  5. Step 5: Solve for x
    x = 7,696,471,010.08/100,700.60
  6. Step 6: Final answer
    x = 76,429.25

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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.