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Finding the Fourth Proportional to 155,997.70, 233,978.47 and 43,686.89

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Solution

The fourth proportional to 155,997.70, 233,978.47 and 43,686.89 is: 65,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,997.70 : 233,978.47 = 43,686.89 : x
  2. Step 2: Convert to fraction form
    155,997.70/233,978.47 = 43,686.89/x
  3. Step 3: Cross multiply
    155,997.70x = 233,978.47 × 43,686.89
  4. Step 4: Simplify right side
    155,997.70x = 10,221,792,841.44
  5. Step 5: Solve for x
    x = 10,221,792,841.44/155,997.70
  6. Step 6: Final answer
    x = 65,525.28

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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.