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Finding the Fourth Proportional to 194,853.80, 292,395.90 and 142,130.60

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Solution

The fourth proportional to 194,853.80, 292,395.90 and 142,130.60 is: 213,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853.80 : 292,395.90 = 142,130.60 : x
  2. Step 2: Convert to fraction form
    194,853.80/292,395.90 = 142,130.60/x
  3. Step 3: Cross multiply
    194,853.80x = 292,395.90 × 142,130.60
  4. Step 4: Simplify right side
    194,853.80x = 41,558,404,704.54
  5. Step 5: Solve for x
    x = 41,558,404,704.54/194,853.80
  6. Step 6: Final answer
    x = 213,279.93

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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.