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Finding the Fourth Proportional to 144,086.40, 216,032.40 and 76,629.60

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Solution

The fourth proportional to 144,086.40, 216,032.40 and 76,629.60 is: 114,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,086.40 : 216,032.40 = 76,629.60 : x
  2. Step 2: Convert to fraction form
    144,086.40/216,032.40 = 76,629.60/x
  3. Step 3: Cross multiply
    144,086.40x = 216,032.40 × 76,629.60
  4. Step 4: Simplify right side
    144,086.40x = 16,554,476,399.04
  5. Step 5: Solve for x
    x = 16,554,476,399.04/144,086.40
  6. Step 6: Final answer
    x = 114,892.71

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1.5x scale

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.