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Finding the Fourth Proportional to 209,310.30, 313,921.53 and 69,036.06

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Solution

The fourth proportional to 209,310.30, 313,921.53 and 69,036.06 is: 103,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,310.30 : 313,921.53 = 69,036.06 : x
  2. Step 2: Convert to fraction form
    209,310.30/313,921.53 = 69,036.06/x
  3. Step 3: Cross multiply
    209,310.30x = 313,921.53 × 69,036.06
  4. Step 4: Simplify right side
    209,310.30x = 21,671,905,580.37
  5. Step 5: Solve for x
    x = 21,671,905,580.37/209,310.30
  6. Step 6: Final answer
    x = 103,539.60

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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.