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Finding the Fourth Proportional to 287,107, 430,664.34 and 90,115

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Solution

The fourth proportional to 287,107, 430,664.34 and 90,115 is: 135,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,107 : 430,664.34 = 90,115 : x
  2. Step 2: Convert to fraction form
    287,107/430,664.34 = 90,115/x
  3. Step 3: Cross multiply
    287,107x = 430,664.34 × 90,115
  4. Step 4: Simplify right side
    287,107x = 38,809,316,999.10
  5. Step 5: Solve for x
    x = 38,809,316,999.10/287,107
  6. Step 6: Final answer
    x = 135,173.71

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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.