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Finding the Fourth Proportional to 104,978.16, 144,869.85 and 57,231.63

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Solution

The fourth proportional to 104,978.16, 144,869.85 and 57,231.63 is: 78,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,978.16 : 144,869.85 = 57,231.63 : x
  2. Step 2: Convert to fraction form
    104,978.16/144,869.85 = 57,231.63/x
  3. Step 3: Cross multiply
    104,978.16x = 144,869.85 × 57,231.63
  4. Step 4: Simplify right side
    104,978.16x = 8,291,137,653.36
  5. Step 5: Solve for x
    x = 8,291,137,653.36/104,978.16
  6. Step 6: Final answer
    x = 78,979.64

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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.