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Finding the Fourth Proportional to 209,969.33, 314,969.40 and 89,909.19

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Solution

The fourth proportional to 209,969.33, 314,969.40 and 89,909.19 is: 134,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.33 : 314,969.40 = 89,909.19 : x
  2. Step 2: Convert to fraction form
    209,969.33/314,969.40 = 89,909.19/x
  3. Step 3: Cross multiply
    209,969.33x = 314,969.40 × 89,909.19
  4. Step 4: Simplify right side
    209,969.33x = 28,318,643,628.79
  5. Step 5: Solve for x
    x = 28,318,643,628.79/209,969.33
  6. Step 6: Final answer
    x = 134,870.38

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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.