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Finding the Fourth Proportional to 165,804.93, 228,847.71 and 105,363.78

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Solution

The fourth proportional to 165,804.93, 228,847.71 and 105,363.78 is: 145,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,804.93 : 228,847.71 = 105,363.78 : x
  2. Step 2: Convert to fraction form
    165,804.93/228,847.71 = 105,363.78/x
  3. Step 3: Cross multiply
    165,804.93x = 228,847.71 × 105,363.78
  4. Step 4: Simplify right side
    165,804.93x = 24,112,259,769.94
  5. Step 5: Solve for x
    x = 24,112,259,769.94/165,804.93
  6. Step 6: Final answer
    x = 145,425.47

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1.5x scale

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.