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Finding the Fourth Proportional to 103,451.76, 155,255.76 and 82,923.12

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Solution

The fourth proportional to 103,451.76, 155,255.76 and 82,923.12 is: 124,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,451.76 : 155,255.76 = 82,923.12 : x
  2. Step 2: Convert to fraction form
    103,451.76/155,255.76 = 82,923.12/x
  3. Step 3: Cross multiply
    103,451.76x = 155,255.76 × 82,923.12
  4. Step 4: Simplify right side
    103,451.76x = 12,874,292,017.17
  5. Step 5: Solve for x
    x = 12,874,292,017.17/103,451.76
  6. Step 6: Final answer
    x = 124,447.30

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1.5x scale

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.