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Finding the Fourth Proportional to 209,932.54, 314,830.59 and 69,653.50

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Solution

The fourth proportional to 209,932.54, 314,830.59 and 69,653.50 is: 104,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,932.54 : 314,830.59 = 69,653.50 : x
  2. Step 2: Convert to fraction form
    209,932.54/314,830.59 = 69,653.50/x
  3. Step 3: Cross multiply
    209,932.54x = 314,830.59 × 69,653.50
  4. Step 4: Simplify right side
    209,932.54x = 21,929,052,500.57
  5. Step 5: Solve for x
    x = 21,929,052,500.57/209,932.54
  6. Step 6: Final answer
    x = 104,457.62

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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.