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Finding the Fourth Proportional to 76,753, 115,135.98 and 21,349

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Solution

The fourth proportional to 76,753, 115,135.98 and 21,349 is: 32,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753 : 115,135.98 = 21,349 : x
  2. Step 2: Convert to fraction form
    76,753/115,135.98 = 21,349/x
  3. Step 3: Cross multiply
    76,753x = 115,135.98 × 21,349
  4. Step 4: Simplify right side
    76,753x = 2,458,038,037.02
  5. Step 5: Solve for x
    x = 2,458,038,037.02/76,753
  6. Step 6: Final answer
    x = 32,025.30

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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.