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Finding the Fourth Proportional to 72,903.74, 109,335.96 and 30,784.10

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Solution

The fourth proportional to 72,903.74, 109,335.96 and 30,784.10 is: 46,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903.74 : 109,335.96 = 30,784.10 : x
  2. Step 2: Convert to fraction form
    72,903.74/109,335.96 = 30,784.10/x
  3. Step 3: Cross multiply
    72,903.74x = 109,335.96 × 30,784.10
  4. Step 4: Simplify right side
    72,903.74x = 3,365,809,126.24
  5. Step 5: Solve for x
    x = 3,365,809,126.24/72,903.74
  6. Step 6: Final answer
    x = 46,167.85

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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.