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Finding the Fourth Proportional to 165,507.80, 248,364.30 and 86,678.60

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Solution

The fourth proportional to 165,507.80, 248,364.30 and 86,678.60 is: 130,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,507.80 : 248,364.30 = 86,678.60 : x
  2. Step 2: Convert to fraction form
    165,507.80/248,364.30 = 86,678.60/x
  3. Step 3: Cross multiply
    165,507.80x = 248,364.30 × 86,678.60
  4. Step 4: Simplify right side
    165,507.80x = 21,527,869,813.98
  5. Step 5: Solve for x
    x = 21,527,869,813.98/165,507.80
  6. Step 6: Final answer
    x = 130,071.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.