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Finding the Fourth Proportional to 209,586.67, 314,418.90 and 69,346.51

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Solution

The fourth proportional to 209,586.67, 314,418.90 and 69,346.51 is: 104,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,586.67 : 314,418.90 = 69,346.51 : x
  2. Step 2: Convert to fraction form
    209,586.67/314,418.90 = 69,346.51/x
  3. Step 3: Cross multiply
    209,586.67x = 314,418.90 × 69,346.51
  4. Step 4: Simplify right side
    209,586.67x = 21,803,853,393.04
  5. Step 5: Solve for x
    x = 21,803,853,393.04/209,586.67
  6. Step 6: Final answer
    x = 104,032.63

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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.