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Finding the Fourth Proportional to 53,097.32, 79,590.42 and 19,804

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Solution

The fourth proportional to 53,097.32, 79,590.42 and 19,804 is: 29,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,097.32 : 79,590.42 = 19,804 : x
  2. Step 2: Convert to fraction form
    53,097.32/79,590.42 = 19,804/x
  3. Step 3: Cross multiply
    53,097.32x = 79,590.42 × 19,804
  4. Step 4: Simplify right side
    53,097.32x = 1,576,208,677.68
  5. Step 5: Solve for x
    x = 1,576,208,677.68/53,097.32
  6. Step 6: Final answer
    x = 29,685.28

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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.