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Finding the Fourth Proportional to 145,649.53, 218,497.80 and 43,077.25

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Solution

The fourth proportional to 145,649.53, 218,497.80 and 43,077.25 is: 64,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,649.53 : 218,497.80 = 43,077.25 : x
  2. Step 2: Convert to fraction form
    145,649.53/218,497.80 = 43,077.25/x
  3. Step 3: Cross multiply
    145,649.53x = 218,497.80 × 43,077.25
  4. Step 4: Simplify right side
    145,649.53x = 9,412,284,355.05
  5. Step 5: Solve for x
    x = 9,412,284,355.05/145,649.53
  6. Step 6: Final answer
    x = 64,622.83

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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.