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Finding the Fourth Proportional to 103,884, 155,770.56 and 53,913.80

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Solution

The fourth proportional to 103,884, 155,770.56 and 53,913.80 is: 80,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,884 : 155,770.56 = 53,913.80 : x
  2. Step 2: Convert to fraction form
    103,884/155,770.56 = 53,913.80/x
  3. Step 3: Cross multiply
    103,884x = 155,770.56 × 53,913.80
  4. Step 4: Simplify right side
    103,884x = 8,398,182,038.88
  5. Step 5: Solve for x
    x = 8,398,182,038.88/103,884
  6. Step 6: Final answer
    x = 80,841.92

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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.