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Finding the Fourth Proportional to 228,287.71, 315,163.73 and 137,666.63

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Solution

The fourth proportional to 228,287.71, 315,163.73 and 137,666.63 is: 190,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,287.71 : 315,163.73 = 137,666.63 : x
  2. Step 2: Convert to fraction form
    228,287.71/315,163.73 = 137,666.63/x
  3. Step 3: Cross multiply
    228,287.71x = 315,163.73 × 137,666.63
  4. Step 4: Simplify right side
    228,287.71x = 43,387,529,739.41
  5. Step 5: Solve for x
    x = 43,387,529,739.41/228,287.71
  6. Step 6: Final answer
    x = 190,056.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.