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Finding the Fourth Proportional to 157,899.76, 237,018.24 and 67,987

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Solution

The fourth proportional to 157,899.76, 237,018.24 and 67,987 is: 102,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,899.76 : 237,018.24 = 67,987 : x
  2. Step 2: Convert to fraction form
    157,899.76/237,018.24 = 67,987/x
  3. Step 3: Cross multiply
    157,899.76x = 237,018.24 × 67,987
  4. Step 4: Simplify right side
    157,899.76x = 16,114,159,082.88
  5. Step 5: Solve for x
    x = 16,114,159,082.88/157,899.76
  6. Step 6: Final answer
    x = 102,053.09

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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.