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Finding the Fourth Proportional to 189,860.76, 284,807.48 and 49,619.25

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Solution

The fourth proportional to 189,860.76, 284,807.48 and 49,619.25 is: 74,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,860.76 : 284,807.48 = 49,619.25 : x
  2. Step 2: Convert to fraction form
    189,860.76/284,807.48 = 49,619.25/x
  3. Step 3: Cross multiply
    189,860.76x = 284,807.48 × 49,619.25
  4. Step 4: Simplify right side
    189,860.76x = 14,131,933,303.89
  5. Step 5: Solve for x
    x = 14,131,933,303.89/189,860.76
  6. Step 6: Final answer
    x = 74,433.14

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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.