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Finding the Fourth Proportional to 72,782.88, 108,948.32 and 39,420.08

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Solution

The fourth proportional to 72,782.88, 108,948.32 and 39,420.08 is: 59,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782.88 : 108,948.32 = 39,420.08 : x
  2. Step 2: Convert to fraction form
    72,782.88/108,948.32 = 39,420.08/x
  3. Step 3: Cross multiply
    72,782.88x = 108,948.32 × 39,420.08
  4. Step 4: Simplify right side
    72,782.88x = 4,294,751,490.27
  5. Step 5: Solve for x
    x = 4,294,751,490.27/72,782.88
  6. Step 6: Final answer
    x = 59,007.72

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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.