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Finding the Fourth Proportional to 145,399.81, 218,099.79 and 45,567.78

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Solution

The fourth proportional to 145,399.81, 218,099.79 and 45,567.78 is: 68,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,399.81 : 218,099.79 = 45,567.78 : x
  2. Step 2: Convert to fraction form
    145,399.81/218,099.79 = 45,567.78/x
  3. Step 3: Cross multiply
    145,399.81x = 218,099.79 × 45,567.78
  4. Step 4: Simplify right side
    145,399.81x = 9,938,322,737.59
  5. Step 5: Solve for x
    x = 9,938,322,737.59/145,399.81
  6. Step 6: Final answer
    x = 68,351.69

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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.