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Finding the Fourth Proportional to 143,284.40, 214,926.60 and 99,047.60

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Solution

The fourth proportional to 143,284.40, 214,926.60 and 99,047.60 is: 148,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,284.40 : 214,926.60 = 99,047.60 : x
  2. Step 2: Convert to fraction form
    143,284.40/214,926.60 = 99,047.60/x
  3. Step 3: Cross multiply
    143,284.40x = 214,926.60 × 99,047.60
  4. Step 4: Simplify right side
    143,284.40x = 21,287,963,906.16
  5. Step 5: Solve for x
    x = 21,287,963,906.16/143,284.40
  6. Step 6: Final answer
    x = 148,571.40

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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.