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Finding the Fourth Proportional to 209,745.95, 314,624.39 and 51,972.12

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Solution

The fourth proportional to 209,745.95, 314,624.39 and 51,972.12 is: 77,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,745.95 : 314,624.39 = 51,972.12 : x
  2. Step 2: Convert to fraction form
    209,745.95/314,624.39 = 51,972.12/x
  3. Step 3: Cross multiply
    209,745.95x = 314,624.39 × 51,972.12
  4. Step 4: Simplify right side
    209,745.95x = 16,351,696,292.15
  5. Step 5: Solve for x
    x = 16,351,696,292.15/209,745.95
  6. Step 6: Final answer
    x = 77,959.53

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1.5x scale

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.