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Finding the Fourth Proportional to 202,829.90, 304,216.05 and 69,716.30

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Solution

The fourth proportional to 202,829.90, 304,216.05 and 69,716.30 is: 104,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,829.90 : 304,216.05 = 69,716.30 : x
  2. Step 2: Convert to fraction form
    202,829.90/304,216.05 = 69,716.30/x
  3. Step 3: Cross multiply
    202,829.90x = 304,216.05 × 69,716.30
  4. Step 4: Simplify right side
    202,829.90x = 21,208,817,406.62
  5. Step 5: Solve for x
    x = 21,208,817,406.62/202,829.90
  6. Step 6: Final answer
    x = 104,564.55

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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.