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Finding the Fourth Proportional to 99,943.20, 149,893.20 and 43,783.20

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Solution

The fourth proportional to 99,943.20, 149,893.20 and 43,783.20 is: 65,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,943.20 : 149,893.20 = 43,783.20 : x
  2. Step 2: Convert to fraction form
    99,943.20/149,893.20 = 43,783.20/x
  3. Step 3: Cross multiply
    99,943.20x = 149,893.20 × 43,783.20
  4. Step 4: Simplify right side
    99,943.20x = 6,562,803,954.24
  5. Step 5: Solve for x
    x = 6,562,803,954.24/99,943.20
  6. Step 6: Final answer
    x = 65,665.34

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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.