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Finding the Fourth Proportional to 287,105, 430,661.34 and 90,113

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Solution

The fourth proportional to 287,105, 430,661.34 and 90,113 is: 135,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,105 : 430,661.34 = 90,113 : x
  2. Step 2: Convert to fraction form
    287,105/430,661.34 = 90,113/x
  3. Step 3: Cross multiply
    287,105x = 430,661.34 × 90,113
  4. Step 4: Simplify right side
    287,105x = 38,808,185,331.42
  5. Step 5: Solve for x
    x = 38,808,185,331.42/287,105
  6. Step 6: Final answer
    x = 135,170.71

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