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Finding the Fourth Proportional to 91,175.81, 136,784.07 and 28,002.32

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Solution

The fourth proportional to 91,175.81, 136,784.07 and 28,002.32 is: 42,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,175.81 : 136,784.07 = 28,002.32 : x
  2. Step 2: Convert to fraction form
    91,175.81/136,784.07 = 28,002.32/x
  3. Step 3: Cross multiply
    91,175.81x = 136,784.07 × 28,002.32
  4. Step 4: Simplify right side
    91,175.81x = 3,830,271,241.66
  5. Step 5: Solve for x
    x = 3,830,271,241.66/91,175.81
  6. Step 6: Final answer
    x = 42,009.73

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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.