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Finding the Fourth Proportional to 189,989, 262,289.46 and 142,225.16

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Solution

The fourth proportional to 189,989, 262,289.46 and 142,225.16 is: 196,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,989 : 262,289.46 = 142,225.16 : x
  2. Step 2: Convert to fraction form
    189,989/262,289.46 = 142,225.16/x
  3. Step 3: Cross multiply
    189,989x = 262,289.46 × 142,225.16
  4. Step 4: Simplify right side
    189,989x = 37,304,160,414.81
  5. Step 5: Solve for x
    x = 37,304,160,414.81/189,989
  6. Step 6: Final answer
    x = 196,349.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.