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Finding the Fourth Proportional to 103,612.44, 155,369.16 and 47,435.64

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Solution

The fourth proportional to 103,612.44, 155,369.16 and 47,435.64 is: 71,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612.44 : 155,369.16 = 47,435.64 : x
  2. Step 2: Convert to fraction form
    103,612.44/155,369.16 = 47,435.64/x
  3. Step 3: Cross multiply
    103,612.44x = 155,369.16 × 47,435.64
  4. Step 4: Simplify right side
    103,612.44x = 7,370,035,540.86
  5. Step 5: Solve for x
    x = 7,370,035,540.86/103,612.44
  6. Step 6: Final answer
    x = 71,130.80

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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.