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Finding the Fourth Proportional to 153,243.94, 229,791.87 and 53,401.78

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Solution

The fourth proportional to 153,243.94, 229,791.87 and 53,401.78 is: 80,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,243.94 : 229,791.87 = 53,401.78 : x
  2. Step 2: Convert to fraction form
    153,243.94/229,791.87 = 53,401.78/x
  3. Step 3: Cross multiply
    153,243.94x = 229,791.87 × 53,401.78
  4. Step 4: Simplify right side
    153,243.94x = 12,271,294,887.53
  5. Step 5: Solve for x
    x = 12,271,294,887.53/153,243.94
  6. Step 6: Final answer
    x = 80,076.87

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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.