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Finding the Fourth Proportional to 103,830.72, 155,759.10 and 40,642.68

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Solution

The fourth proportional to 103,830.72, 155,759.10 and 40,642.68 is: 60,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830.72 : 155,759.10 = 40,642.68 : x
  2. Step 2: Convert to fraction form
    103,830.72/155,759.10 = 40,642.68/x
  3. Step 3: Cross multiply
    103,830.72x = 155,759.10 × 40,642.68
  4. Step 4: Simplify right side
    103,830.72x = 6,330,467,258.39
  5. Step 5: Solve for x
    x = 6,330,467,258.39/103,830.72
  6. Step 6: Final answer
    x = 60,969.12

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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.