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Finding the Fourth Proportional to 142,494.80, 196,641.68 and 78,836.09

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Solution

The fourth proportional to 142,494.80, 196,641.68 and 78,836.09 is: 108,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,494.80 : 196,641.68 = 78,836.09 : x
  2. Step 2: Convert to fraction form
    142,494.80/196,641.68 = 78,836.09/x
  3. Step 3: Cross multiply
    142,494.80x = 196,641.68 × 78,836.09
  4. Step 4: Simplify right side
    142,494.80x = 15,502,459,804.84
  5. Step 5: Solve for x
    x = 15,502,459,804.84/142,494.80
  6. Step 6: Final answer
    x = 108,793.17

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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.