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Finding the Fourth Proportional to 342,046.21, 513,152.36 and 105,388.88

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Solution

The fourth proportional to 342,046.21, 513,152.36 and 105,388.88 is: 158,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,046.21 : 513,152.36 = 105,388.88 : x
  2. Step 2: Convert to fraction form
    342,046.21/513,152.36 = 105,388.88/x
  3. Step 3: Cross multiply
    342,046.21x = 513,152.36 × 105,388.88
  4. Step 4: Simplify right side
    342,046.21x = 54,080,552,489.76
  5. Step 5: Solve for x
    x = 54,080,552,489.76/342,046.21
  6. Step 6: Final answer
    x = 158,108.91

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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.