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Finding the Fourth Proportional to 189,122.40, 283,664.40 and 64,461.60

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Solution

The fourth proportional to 189,122.40, 283,664.40 and 64,461.60 is: 96,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,122.40 : 283,664.40 = 64,461.60 : x
  2. Step 2: Convert to fraction form
    189,122.40/283,664.40 = 64,461.60/x
  3. Step 3: Cross multiply
    189,122.40x = 283,664.40 × 64,461.60
  4. Step 4: Simplify right side
    189,122.40x = 18,285,461,087.04
  5. Step 5: Solve for x
    x = 18,285,461,087.04/189,122.40
  6. Step 6: Final answer
    x = 96,685.86

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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.