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Finding the Fourth Proportional to 53,081.16, 79,619.11 and 19,798.63

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Solution

The fourth proportional to 53,081.16, 79,619.11 and 19,798.63 is: 29,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081.16 : 79,619.11 = 19,798.63 : x
  2. Step 2: Convert to fraction form
    53,081.16/79,619.11 = 19,798.63/x
  3. Step 3: Cross multiply
    53,081.16x = 79,619.11 × 19,798.63
  4. Step 4: Simplify right side
    53,081.16x = 1,576,349,299.82
  5. Step 5: Solve for x
    x = 1,576,349,299.82/53,081.16
  6. Step 6: Final answer
    x = 29,696.96

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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.