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Finding the Fourth Proportional to 53,156.94, 79,766.81 and 19,419.96

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Solution

The fourth proportional to 53,156.94, 79,766.81 and 19,419.96 is: 29,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,156.94 : 79,766.81 = 19,419.96 : x
  2. Step 2: Convert to fraction form
    53,156.94/79,766.81 = 19,419.96/x
  3. Step 3: Cross multiply
    53,156.94x = 79,766.81 × 19,419.96
  4. Step 4: Simplify right side
    53,156.94x = 1,549,068,414.65
  5. Step 5: Solve for x
    x = 1,549,068,414.65/53,156.94
  6. Step 6: Final answer
    x = 29,141.41

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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.