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Finding the Fourth Proportional to 135,449.40, 186,918.28 and 78,088.83

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Solution

The fourth proportional to 135,449.40, 186,918.28 and 78,088.83 is: 107,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,449.40 : 186,918.28 = 78,088.83 : x
  2. Step 2: Convert to fraction form
    135,449.40/186,918.28 = 78,088.83/x
  3. Step 3: Cross multiply
    135,449.40x = 186,918.28 × 78,088.83
  4. Step 4: Simplify right side
    135,449.40x = 14,596,230,122.46
  5. Step 5: Solve for x
    x = 14,596,230,122.46/135,449.40
  6. Step 6: Final answer
    x = 107,761.50

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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.