Home / 109,355.84-164,032.32-30,470.48

Finding the Fourth Proportional to 109,355.84, 164,032.32 and 30,470.48

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Solution

The fourth proportional to 109,355.84, 164,032.32 and 30,470.48 is: 45,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,355.84 : 164,032.32 = 30,470.48 : x
  2. Step 2: Convert to fraction form
    109,355.84/164,032.32 = 30,470.48/x
  3. Step 3: Cross multiply
    109,355.84x = 164,032.32 × 30,470.48
  4. Step 4: Simplify right side
    109,355.84x = 4,998,143,525.91
  5. Step 5: Solve for x
    x = 4,998,143,525.91/109,355.84
  6. Step 6: Final answer
    x = 45,705.32

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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.