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Finding the Fourth Proportional to 209,551.89, 314,212.95 and 83,064

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Solution

The fourth proportional to 209,551.89, 314,212.95 and 83,064 is: 124,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,551.89 : 314,212.95 = 83,064 : x
  2. Step 2: Convert to fraction form
    209,551.89/314,212.95 = 83,064/x
  3. Step 3: Cross multiply
    209,551.89x = 314,212.95 × 83,064
  4. Step 4: Simplify right side
    209,551.89x = 26,099,784,478.80
  5. Step 5: Solve for x
    x = 26,099,784,478.80/209,551.89
  6. Step 6: Final answer
    x = 124,550.46

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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.