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Finding the Fourth Proportional to 209,615.46, 314,494.95 and 89,622.97

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Solution

The fourth proportional to 209,615.46, 314,494.95 and 89,622.97 is: 134,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.46 : 314,494.95 = 89,622.97 : x
  2. Step 2: Convert to fraction form
    209,615.46/314,494.95 = 89,622.97/x
  3. Step 3: Cross multiply
    209,615.46x = 314,494.95 × 89,622.97
  4. Step 4: Simplify right side
    209,615.46x = 28,185,972,535.82
  5. Step 5: Solve for x
    x = 28,185,972,535.82/209,615.46
  6. Step 6: Final answer
    x = 134,465.14

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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.