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Finding the Fourth Proportional to 103,506.98, 155,149.72 and 53,536.76

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Solution

The fourth proportional to 103,506.98, 155,149.72 and 53,536.76 is: 80,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,506.98 : 155,149.72 = 53,536.76 : x
  2. Step 2: Convert to fraction form
    103,506.98/155,149.72 = 53,536.76/x
  3. Step 3: Cross multiply
    103,506.98x = 155,149.72 × 53,536.76
  4. Step 4: Simplify right side
    103,506.98x = 8,306,213,323.71
  5. Step 5: Solve for x
    x = 8,306,213,323.71/103,506.98
  6. Step 6: Final answer
    x = 80,247.86

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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.