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Finding the Fourth Proportional to 46,989, 70,469.61 and 13,700.12

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Solution

The fourth proportional to 46,989, 70,469.61 and 13,700.12 is: 20,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,989 : 70,469.61 = 13,700.12 : x
  2. Step 2: Convert to fraction form
    46,989/70,469.61 = 13,700.12/x
  3. Step 3: Cross multiply
    46,989x = 70,469.61 × 13,700.12
  4. Step 4: Simplify right side
    46,989x = 965,441,761.01
  5. Step 5: Solve for x
    x = 965,441,761.01/46,989
  6. Step 6: Final answer
    x = 20,546.12

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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.