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Finding the Fourth Proportional to 158,474.88, 218,304.72 and 135,739.80

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Solution

The fourth proportional to 158,474.88, 218,304.72 and 135,739.80 is: 186,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,474.88 : 218,304.72 = 135,739.80 : x
  2. Step 2: Convert to fraction form
    158,474.88/218,304.72 = 135,739.80/x
  3. Step 3: Cross multiply
    158,474.88x = 218,304.72 × 135,739.80
  4. Step 4: Simplify right side
    158,474.88x = 29,632,639,031.86
  5. Step 5: Solve for x
    x = 29,632,639,031.86/158,474.88
  6. Step 6: Final answer
    x = 186,986.35

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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.