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Finding the Fourth Proportional to 30,123.36, 45,189.90 and 9,342

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Solution

The fourth proportional to 30,123.36, 45,189.90 and 9,342 is: 14,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.36 : 45,189.90 = 9,342 : x
  2. Step 2: Convert to fraction form
    30,123.36/45,189.90 = 9,342/x
  3. Step 3: Cross multiply
    30,123.36x = 45,189.90 × 9,342
  4. Step 4: Simplify right side
    30,123.36x = 422,164,045.80
  5. Step 5: Solve for x
    x = 422,164,045.80/30,123.36
  6. Step 6: Final answer
    x = 14,014.51

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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.