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Finding the Fourth Proportional to 194,999.20, 292,498.80 and 106,425.70

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Solution

The fourth proportional to 194,999.20, 292,498.80 and 106,425.70 is: 159,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,999.20 : 292,498.80 = 106,425.70 : x
  2. Step 2: Convert to fraction form
    194,999.20/292,498.80 = 106,425.70/x
  3. Step 3: Cross multiply
    194,999.20x = 292,498.80 × 106,425.70
  4. Step 4: Simplify right side
    194,999.20x = 31,129,389,539.16
  5. Step 5: Solve for x
    x = 31,129,389,539.16/194,999.20
  6. Step 6: Final answer
    x = 159,638.55

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1.5x scale

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.