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Finding the Fourth Proportional to 189,452.40, 283,804.20 and 122,938.80

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Solution

The fourth proportional to 189,452.40, 283,804.20 and 122,938.80 is: 184,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,452.40 : 283,804.20 = 122,938.80 : x
  2. Step 2: Convert to fraction form
    189,452.40/283,804.20 = 122,938.80/x
  3. Step 3: Cross multiply
    189,452.40x = 283,804.20 × 122,938.80
  4. Step 4: Simplify right side
    189,452.40x = 34,890,547,782.96
  5. Step 5: Solve for x
    x = 34,890,547,782.96/189,452.40
  6. Step 6: Final answer
    x = 184,165.25

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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.