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Finding the Fourth Proportional to 72,783.38, 108,949.07 and 39,420.58

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Solution

The fourth proportional to 72,783.38, 108,949.07 and 39,420.58 is: 59,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783.38 : 108,949.07 = 39,420.58 : x
  2. Step 2: Convert to fraction form
    72,783.38/108,949.07 = 39,420.58/x
  3. Step 3: Cross multiply
    72,783.38x = 108,949.07 × 39,420.58
  4. Step 4: Simplify right side
    72,783.38x = 4,294,835,529.86
  5. Step 5: Solve for x
    x = 4,294,835,529.86/72,783.38
  6. Step 6: Final answer
    x = 59,008.46

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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.