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Finding the Fourth Proportional to 100,009.31, 137,947.80 and 64,142.51

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Solution

The fourth proportional to 100,009.31, 137,947.80 and 64,142.51 is: 88,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,009.31 : 137,947.80 = 64,142.51 : x
  2. Step 2: Convert to fraction form
    100,009.31/137,947.80 = 64,142.51/x
  3. Step 3: Cross multiply
    100,009.31x = 137,947.80 × 64,142.51
  4. Step 4: Simplify right side
    100,009.31x = 8,848,317,451.24
  5. Step 5: Solve for x
    x = 8,848,317,451.24/100,009.31
  6. Step 6: Final answer
    x = 88,474.94

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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.