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Finding the Fourth Proportional to 209,646.56, 314,519.05 and 69,405.19

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Solution

The fourth proportional to 209,646.56, 314,519.05 and 69,405.19 is: 104,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,646.56 : 314,519.05 = 69,405.19 : x
  2. Step 2: Convert to fraction form
    209,646.56/314,519.05 = 69,405.19/x
  3. Step 3: Cross multiply
    209,646.56x = 314,519.05 × 69,405.19
  4. Step 4: Simplify right side
    209,646.56x = 21,829,253,724.33
  5. Step 5: Solve for x
    x = 21,829,253,724.33/209,646.56
  6. Step 6: Final answer
    x = 104,124.07

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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.