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Finding the Fourth Proportional to 103,805.10, 155,707.65 and 101,836.80

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Solution

The fourth proportional to 103,805.10, 155,707.65 and 101,836.80 is: 152,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,805.10 : 155,707.65 = 101,836.80 : x
  2. Step 2: Convert to fraction form
    103,805.10/155,707.65 = 101,836.80/x
  3. Step 3: Cross multiply
    103,805.10x = 155,707.65 × 101,836.80
  4. Step 4: Simplify right side
    103,805.10x = 15,856,768,811.52
  5. Step 5: Solve for x
    x = 15,856,768,811.52/103,805.10
  6. Step 6: Final answer
    x = 152,755.20

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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.