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Finding the Fourth Proportional to 72,870.89, 109,309.21 and 20,284.97

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Solution

The fourth proportional to 72,870.89, 109,309.21 and 20,284.97 is: 30,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,870.89 : 109,309.21 = 20,284.97 : x
  2. Step 2: Convert to fraction form
    72,870.89/109,309.21 = 20,284.97/x
  3. Step 3: Cross multiply
    72,870.89x = 109,309.21 × 20,284.97
  4. Step 4: Simplify right side
    72,870.89x = 2,217,333,448.32
  5. Step 5: Solve for x
    x = 2,217,333,448.32/72,870.89
  6. Step 6: Final answer
    x = 30,428.25

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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.