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Finding the Fourth Proportional to 72,442.63, 108,663.95 and 19,852.57

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Solution

The fourth proportional to 72,442.63, 108,663.95 and 19,852.57 is: 29,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442.63 : 108,663.95 = 19,852.57 : x
  2. Step 2: Convert to fraction form
    72,442.63/108,663.95 = 19,852.57/x
  3. Step 3: Cross multiply
    72,442.63x = 108,663.95 × 19,852.57
  4. Step 4: Simplify right side
    72,442.63x = 2,157,258,673.85
  5. Step 5: Solve for x
    x = 2,157,258,673.85/72,442.63
  6. Step 6: Final answer
    x = 29,778.86

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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.