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Finding the Fourth Proportional to 53,747.60, 80,467.80 and 47,603.60

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Solution

The fourth proportional to 53,747.60, 80,467.80 and 47,603.60 is: 71,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,747.60 : 80,467.80 = 47,603.60 : x
  2. Step 2: Convert to fraction form
    53,747.60/80,467.80 = 47,603.60/x
  3. Step 3: Cross multiply
    53,747.60x = 80,467.80 × 47,603.60
  4. Step 4: Simplify right side
    53,747.60x = 3,830,556,964.08
  5. Step 5: Solve for x
    x = 3,830,556,964.08/53,747.60
  6. Step 6: Final answer
    x = 71,269.36

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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.