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Finding the Fourth Proportional to 209,567.84, 314,351.85 and 69,326.46

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Solution

The fourth proportional to 209,567.84, 314,351.85 and 69,326.46 is: 103,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,567.84 : 314,351.85 = 69,326.46 : x
  2. Step 2: Convert to fraction form
    209,567.84/314,351.85 = 69,326.46/x
  3. Step 3: Cross multiply
    209,567.84x = 314,351.85 × 69,326.46
  4. Step 4: Simplify right side
    209,567.84x = 21,792,901,214.93
  5. Step 5: Solve for x
    x = 21,792,901,214.93/209,567.84
  6. Step 6: Final answer
    x = 103,989.72

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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.