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Finding the Fourth Proportional to 145,763.64, 218,379.22 and 105,683.22

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Solution

The fourth proportional to 145,763.64, 218,379.22 and 105,683.22 is: 158,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,763.64 : 218,379.22 = 105,683.22 : x
  2. Step 2: Convert to fraction form
    145,763.64/218,379.22 = 105,683.22/x
  3. Step 3: Cross multiply
    145,763.64x = 218,379.22 × 105,683.22
  4. Step 4: Simplify right side
    145,763.64x = 23,079,019,150.69
  5. Step 5: Solve for x
    x = 23,079,019,150.69/145,763.64
  6. Step 6: Final answer
    x = 158,331.80

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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.