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Finding the Fourth Proportional to 260,523.77, 390,581.49 and 102,870.23

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Solution

The fourth proportional to 260,523.77, 390,581.49 and 102,870.23 is: 154,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,523.77 : 390,581.49 = 102,870.23 : x
  2. Step 2: Convert to fraction form
    260,523.77/390,581.49 = 102,870.23/x
  3. Step 3: Cross multiply
    260,523.77x = 390,581.49 × 102,870.23
  4. Step 4: Simplify right side
    260,523.77x = 40,179,205,757.14
  5. Step 5: Solve for x
    x = 40,179,205,757.14/260,523.77
  6. Step 6: Final answer
    x = 154,224.72

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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.