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Finding the Fourth Proportional to 287,104, 430,659.84 and 90,112

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Solution

The fourth proportional to 287,104, 430,659.84 and 90,112 is: 135,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,104 : 430,659.84 = 90,112 : x
  2. Step 2: Convert to fraction form
    287,104/430,659.84 = 90,112/x
  3. Step 3: Cross multiply
    287,104x = 430,659.84 × 90,112
  4. Step 4: Simplify right side
    287,104x = 38,807,619,502.08
  5. Step 5: Solve for x
    x = 38,807,619,502.08/287,104
  6. Step 6: Final answer
    x = 135,169.21

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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.