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Finding the Fourth Proportional to 75,099, 103,659.72 and 43,289.16

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Solution

The fourth proportional to 75,099, 103,659.72 and 43,289.16 is: 59,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099 : 103,659.72 = 43,289.16 : x
  2. Step 2: Convert to fraction form
    75,099/103,659.72 = 43,289.16/x
  3. Step 3: Cross multiply
    75,099x = 103,659.72 × 43,289.16
  4. Step 4: Simplify right side
    75,099x = 4,487,342,204.64
  5. Step 5: Solve for x
    x = 4,487,342,204.64/75,099
  6. Step 6: Final answer
    x = 59,752.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.