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Finding the Fourth Proportional to 165,769.40, 248,783.70 and 77,033.90

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Solution

The fourth proportional to 165,769.40, 248,783.70 and 77,033.90 is: 115,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,769.40 : 248,783.70 = 77,033.90 : x
  2. Step 2: Convert to fraction form
    165,769.40/248,783.70 = 77,033.90/x
  3. Step 3: Cross multiply
    165,769.40x = 248,783.70 × 77,033.90
  4. Step 4: Simplify right side
    165,769.40x = 19,164,778,667.43
  5. Step 5: Solve for x
    x = 19,164,778,667.43/165,769.40
  6. Step 6: Final answer
    x = 115,611.08

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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.