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Finding the Fourth Proportional to 72,935.52, 109,403.76 and 26,188.80

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Solution

The fourth proportional to 72,935.52, 109,403.76 and 26,188.80 is: 39,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,935.52 : 109,403.76 = 26,188.80 : x
  2. Step 2: Convert to fraction form
    72,935.52/109,403.76 = 26,188.80/x
  3. Step 3: Cross multiply
    72,935.52x = 109,403.76 × 26,188.80
  4. Step 4: Simplify right side
    72,935.52x = 2,865,153,189.89
  5. Step 5: Solve for x
    x = 2,865,153,189.89/72,935.52
  6. Step 6: Final answer
    x = 39,283.37

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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.