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Finding the Fourth Proportional to 225,527.74, 310,978.93 and 143,726.48

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Solution

The fourth proportional to 225,527.74, 310,978.93 and 143,726.48 is: 198,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,527.74 : 310,978.93 = 143,726.48 : x
  2. Step 2: Convert to fraction form
    225,527.74/310,978.93 = 143,726.48/x
  3. Step 3: Cross multiply
    225,527.74x = 310,978.93 × 143,726.48
  4. Step 4: Simplify right side
    225,527.74x = 44,695,907,313.88
  5. Step 5: Solve for x
    x = 44,695,907,313.88/225,527.74
  6. Step 6: Final answer
    x = 198,183.64

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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.