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Finding the Fourth Proportional to 46,661.72, 69,978.20 and 13,372.86

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Solution

The fourth proportional to 46,661.72, 69,978.20 and 13,372.86 is: 20,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,661.72 : 69,978.20 = 13,372.86 : x
  2. Step 2: Convert to fraction form
    46,661.72/69,978.20 = 13,372.86/x
  3. Step 3: Cross multiply
    46,661.72x = 69,978.20 × 13,372.86
  4. Step 4: Simplify right side
    46,661.72x = 935,808,671.65
  5. Step 5: Solve for x
    x = 935,808,671.65/46,661.72
  6. Step 6: Final answer
    x = 20,055.17

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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.