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Finding the Fourth Proportional to 213,121.75, 319,688.39 and 65,377.75

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Solution

The fourth proportional to 213,121.75, 319,688.39 and 65,377.75 is: 98,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,121.75 : 319,688.39 = 65,377.75 : x
  2. Step 2: Convert to fraction form
    213,121.75/319,688.39 = 65,377.75/x
  3. Step 3: Cross multiply
    213,121.75x = 319,688.39 × 65,377.75
  4. Step 4: Simplify right side
    213,121.75x = 20,900,507,639.32
  5. Step 5: Solve for x
    x = 20,900,507,639.32/213,121.75
  6. Step 6: Final answer
    x = 98,068.39

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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.