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Finding the Fourth Proportional to 209,893.68, 314,767.62 and 69,619.50

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Solution

The fourth proportional to 209,893.68, 314,767.62 and 69,619.50 is: 104,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,893.68 : 314,767.62 = 69,619.50 : x
  2. Step 2: Convert to fraction form
    209,893.68/314,767.62 = 69,619.50/x
  3. Step 3: Cross multiply
    209,893.68x = 314,767.62 × 69,619.50
  4. Step 4: Simplify right side
    209,893.68x = 21,913,964,320.59
  5. Step 5: Solve for x
    x = 21,913,964,320.59/209,893.68
  6. Step 6: Final answer
    x = 104,405.07

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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.