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Finding the Fourth Proportional to 78,569.88, 117,851.64 and 19,404.05

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Solution

The fourth proportional to 78,569.88, 117,851.64 and 19,404.05 is: 29,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,569.88 : 117,851.64 = 19,404.05 : x
  2. Step 2: Convert to fraction form
    78,569.88/117,851.64 = 19,404.05/x
  3. Step 3: Cross multiply
    78,569.88x = 117,851.64 × 19,404.05
  4. Step 4: Simplify right side
    78,569.88x = 2,286,798,525.88
  5. Step 5: Solve for x
    x = 2,286,798,525.88/78,569.88
  6. Step 6: Final answer
    x = 29,105.28

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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.