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Finding the Fourth Proportional to 212,632.77, 318,949.16 and 145,870.54

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Solution

The fourth proportional to 212,632.77, 318,949.16 and 145,870.54 is: 218,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,632.77 : 318,949.16 = 145,870.54 : x
  2. Step 2: Convert to fraction form
    212,632.77/318,949.16 = 145,870.54/x
  3. Step 3: Cross multiply
    212,632.77x = 318,949.16 × 145,870.54
  4. Step 4: Simplify right side
    212,632.77x = 46,525,286,201.75
  5. Step 5: Solve for x
    x = 46,525,286,201.75/212,632.77
  6. Step 6: Final answer
    x = 218,805.81

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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.