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Finding the Fourth Proportional to 72,415.90, 108,631.35 and 19,825.39

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Solution

The fourth proportional to 72,415.90, 108,631.35 and 19,825.39 is: 29,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,415.90 : 108,631.35 = 19,825.39 : x
  2. Step 2: Convert to fraction form
    72,415.90/108,631.35 = 19,825.39/x
  3. Step 3: Cross multiply
    72,415.90x = 108,631.35 × 19,825.39
  4. Step 4: Simplify right side
    72,415.90x = 2,153,658,879.98
  5. Step 5: Solve for x
    x = 2,153,658,879.98/72,415.90
  6. Step 6: Final answer
    x = 29,740.14

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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.