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Finding the Fourth Proportional to 342,543.06, 513,890.46 and 102,647.34

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Solution

The fourth proportional to 342,543.06, 513,890.46 and 102,647.34 is: 153,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,543.06 : 513,890.46 = 102,647.34 : x
  2. Step 2: Convert to fraction form
    342,543.06/513,890.46 = 102,647.34/x
  3. Step 3: Cross multiply
    342,543.06x = 513,890.46 × 102,647.34
  4. Step 4: Simplify right side
    342,543.06x = 52,749,488,770.38
  5. Step 5: Solve for x
    x = 52,749,488,770.38/342,543.06
  6. Step 6: Final answer
    x = 153,993.75

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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.