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Finding the Fourth Proportional to 209,903.05, 314,885.87 and 67,701.58

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Solution

The fourth proportional to 209,903.05, 314,885.87 and 67,701.58 is: 101,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,903.05 : 314,885.87 = 67,701.58 : x
  2. Step 2: Convert to fraction form
    209,903.05/314,885.87 = 67,701.58/x
  3. Step 3: Cross multiply
    209,903.05x = 314,885.87 × 67,701.58
  4. Step 4: Simplify right side
    209,903.05x = 21,318,269,792.95
  5. Step 5: Solve for x
    x = 21,318,269,792.95/209,903.05
  6. Step 6: Final answer
    x = 101,562.46

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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.