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Finding the Fourth Proportional to 342,006.37, 513,064.68 and 105,348.82

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Solution

The fourth proportional to 342,006.37, 513,064.68 and 105,348.82 is: 158,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.37 : 513,064.68 = 105,348.82 : x
  2. Step 2: Convert to fraction form
    342,006.37/513,064.68 = 105,348.82/x
  3. Step 3: Cross multiply
    342,006.37x = 513,064.68 × 105,348.82
  4. Step 4: Simplify right side
    342,006.37x = 54,050,758,621.68
  5. Step 5: Solve for x
    x = 54,050,758,621.68/342,006.37
  6. Step 6: Final answer
    x = 158,040.21

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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.