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Finding the Fourth Proportional to 235,853.40, 353,261.70 and 142,195.80

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Solution

The fourth proportional to 235,853.40, 353,261.70 and 142,195.80 is: 212,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,853.40 : 353,261.70 = 142,195.80 : x
  2. Step 2: Convert to fraction form
    235,853.40/353,261.70 = 142,195.80/x
  3. Step 3: Cross multiply
    235,853.40x = 353,261.70 × 142,195.80
  4. Step 4: Simplify right side
    235,853.40x = 50,232,330,040.86
  5. Step 5: Solve for x
    x = 50,232,330,040.86/235,853.40
  6. Step 6: Final answer
    x = 212,981.16

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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.