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Finding the Fourth Proportional to 145,791.04, 218,640.48 and 47,272

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Solution

The fourth proportional to 145,791.04, 218,640.48 and 47,272 is: 70,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,791.04 : 218,640.48 = 47,272 : x
  2. Step 2: Convert to fraction form
    145,791.04/218,640.48 = 47,272/x
  3. Step 3: Cross multiply
    145,791.04x = 218,640.48 × 47,272
  4. Step 4: Simplify right side
    145,791.04x = 10,335,572,770.56
  5. Step 5: Solve for x
    x = 10,335,572,770.56/145,791.04
  6. Step 6: Final answer
    x = 70,893.06

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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.