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Finding the Fourth Proportional to 225,615.65, 311,319.92 and 134,938.53

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Solution

The fourth proportional to 225,615.65, 311,319.92 and 134,938.53 is: 186,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,615.65 : 311,319.92 = 134,938.53 : x
  2. Step 2: Convert to fraction form
    225,615.65/311,319.92 = 134,938.53/x
  3. Step 3: Cross multiply
    225,615.65x = 311,319.92 × 134,938.53
  4. Step 4: Simplify right side
    225,615.65x = 42,009,052,701.86
  5. Step 5: Solve for x
    x = 42,009,052,701.86/225,615.65
  6. Step 6: Final answer
    x = 186,197.43

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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.