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Finding the Fourth Proportional to 72,895.23, 109,323.23 and 30,775.59

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Solution

The fourth proportional to 72,895.23, 109,323.23 and 30,775.59 is: 46,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,895.23 : 109,323.23 = 30,775.59 : x
  2. Step 2: Convert to fraction form
    72,895.23/109,323.23 = 30,775.59/x
  3. Step 3: Cross multiply
    72,895.23x = 109,323.23 × 30,775.59
  4. Step 4: Simplify right side
    72,895.23x = 3,364,486,750.08
  5. Step 5: Solve for x
    x = 3,364,486,750.08/72,895.23
  6. Step 6: Final answer
    x = 46,155.10

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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.