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Finding the Fourth Proportional to 72,783.88, 108,949.82 and 39,421.08

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Solution

The fourth proportional to 72,783.88, 108,949.82 and 39,421.08 is: 59,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783.88 : 108,949.82 = 39,421.08 : x
  2. Step 2: Convert to fraction form
    72,783.88/108,949.82 = 39,421.08/x
  3. Step 3: Cross multiply
    72,783.88x = 108,949.82 × 39,421.08
  4. Step 4: Simplify right side
    72,783.88x = 4,294,919,570.21
  5. Step 5: Solve for x
    x = 4,294,919,570.21/72,783.88
  6. Step 6: Final answer
    x = 59,009.21

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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.