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Finding the Fourth Proportional to 287,172.21, 430,822.56 and 87,508.22

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Solution

The fourth proportional to 287,172.21, 430,822.56 and 87,508.22 is: 131,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,172.21 : 430,822.56 = 87,508.22 : x
  2. Step 2: Convert to fraction form
    287,172.21/430,822.56 = 87,508.22/x
  3. Step 3: Cross multiply
    287,172.21x = 430,822.56 × 87,508.22
  4. Step 4: Simplify right side
    287,172.21x = 37,700,515,361.44
  5. Step 5: Solve for x
    x = 37,700,515,361.44/287,172.21
  6. Step 6: Final answer
    x = 131,281.91

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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.