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Finding the Fourth Proportional to 342,027, 513,108.54 and 105,359.58

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Solution

The fourth proportional to 342,027, 513,108.54 and 105,359.58 is: 158,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,027 : 513,108.54 = 105,359.58 : x
  2. Step 2: Convert to fraction form
    342,027/513,108.54 = 105,359.58/x
  3. Step 3: Cross multiply
    342,027x = 513,108.54 × 105,359.58
  4. Step 4: Simplify right side
    342,027x = 54,060,900,268.81
  5. Step 5: Solve for x
    x = 54,060,900,268.81/342,027
  6. Step 6: Final answer
    x = 158,060.33

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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.