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Finding the Fourth Proportional to 49,978.64, 74,980.04 and 14,921.12

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Solution

The fourth proportional to 49,978.64, 74,980.04 and 14,921.12 is: 22,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.64 : 74,980.04 = 14,921.12 : x
  2. Step 2: Convert to fraction form
    49,978.64/74,980.04 = 14,921.12/x
  3. Step 3: Cross multiply
    49,978.64x = 74,980.04 × 14,921.12
  4. Step 4: Simplify right side
    49,978.64x = 1,118,786,174.44
  5. Step 5: Solve for x
    x = 1,118,786,174.44/49,978.64
  6. Step 6: Final answer
    x = 22,385.29

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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.