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Finding the Fourth Proportional to 85,821.63, 128,714.85 and 32,495.21

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Solution

The fourth proportional to 85,821.63, 128,714.85 and 32,495.21 is: 48,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,821.63 : 128,714.85 = 32,495.21 : x
  2. Step 2: Convert to fraction form
    85,821.63/128,714.85 = 32,495.21/x
  3. Step 3: Cross multiply
    85,821.63x = 128,714.85 × 32,495.21
  4. Step 4: Simplify right side
    85,821.63x = 4,182,616,080.87
  5. Step 5: Solve for x
    x = 4,182,616,080.87/85,821.63
  6. Step 6: Final answer
    x = 48,736.15

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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.