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Finding the Fourth Proportional to 70,289.32, 96,989.70 and 41,989

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Solution

The fourth proportional to 70,289.32, 96,989.70 and 41,989 is: 57,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,289.32 : 96,989.70 = 41,989 : x
  2. Step 2: Convert to fraction form
    70,289.32/96,989.70 = 41,989/x
  3. Step 3: Cross multiply
    70,289.32x = 96,989.70 × 41,989
  4. Step 4: Simplify right side
    70,289.32x = 4,072,500,513.30
  5. Step 5: Solve for x
    x = 4,072,500,513.30/70,289.32
  6. Step 6: Final answer
    x = 57,939.11

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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.