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Finding the Fourth Proportional to 208,870.33, 313,356.53 and 66,715.63

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Solution

The fourth proportional to 208,870.33, 313,356.53 and 66,715.63 is: 100,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,870.33 : 313,356.53 = 66,715.63 : x
  2. Step 2: Convert to fraction form
    208,870.33/313,356.53 = 66,715.63/x
  3. Step 3: Cross multiply
    208,870.33x = 313,356.53 × 66,715.63
  4. Step 4: Simplify right side
    208,870.33x = 20,905,778,313.56
  5. Step 5: Solve for x
    x = 20,905,778,313.56/208,870.33
  6. Step 6: Final answer
    x = 100,089.75

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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.