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Finding the Fourth Proportional to 157,115.40, 216,819.72 and 85,495.44

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Solution

The fourth proportional to 157,115.40, 216,819.72 and 85,495.44 is: 117,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,115.40 : 216,819.72 = 85,495.44 : x
  2. Step 2: Convert to fraction form
    157,115.40/216,819.72 = 85,495.44/x
  3. Step 3: Cross multiply
    157,115.40x = 216,819.72 × 85,495.44
  4. Step 4: Simplify right side
    157,115.40x = 18,537,097,362.08
  5. Step 5: Solve for x
    x = 18,537,097,362.08/157,115.40
  6. Step 6: Final answer
    x = 117,983.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.