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Finding the Fourth Proportional to 72,969.55, 109,465.61 and 30,849.75

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Solution

The fourth proportional to 72,969.55, 109,465.61 and 30,849.75 is: 46,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,969.55 : 109,465.61 = 30,849.75 : x
  2. Step 2: Convert to fraction form
    72,969.55/109,465.61 = 30,849.75/x
  3. Step 3: Cross multiply
    72,969.55x = 109,465.61 × 30,849.75
  4. Step 4: Simplify right side
    72,969.55x = 3,376,986,702.10
  5. Step 5: Solve for x
    x = 3,376,986,702.10/72,969.55
  6. Step 6: Final answer
    x = 46,279.40

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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.