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Finding the Fourth Proportional to 189,223.47, 283,255.62 and 122,530.89

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Solution

The fourth proportional to 189,223.47, 283,255.62 and 122,530.89 is: 183,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,223.47 : 283,255.62 = 122,530.89 : x
  2. Step 2: Convert to fraction form
    189,223.47/283,255.62 = 122,530.89/x
  3. Step 3: Cross multiply
    189,223.47x = 283,255.62 × 122,530.89
  4. Step 4: Simplify right side
    189,223.47x = 34,707,563,216.10
  5. Step 5: Solve for x
    x = 34,707,563,216.10/189,223.47
  6. Step 6: Final answer
    x = 183,421.03

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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.