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Finding the Fourth Proportional to 208,265.40, 312,543.90 and 90,021.60

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Solution

The fourth proportional to 208,265.40, 312,543.90 and 90,021.60 is: 135,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,265.40 : 312,543.90 = 90,021.60 : x
  2. Step 2: Convert to fraction form
    208,265.40/312,543.90 = 90,021.60/x
  3. Step 3: Cross multiply
    208,265.40x = 312,543.90 × 90,021.60
  4. Step 4: Simplify right side
    208,265.40x = 28,135,701,948.24
  5. Step 5: Solve for x
    x = 28,135,701,948.24/208,265.40
  6. Step 6: Final answer
    x = 135,095.42

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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.