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Finding the Fourth Proportional to 30,115.78, 45,174.03 and 14,322.34

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Solution

The fourth proportional to 30,115.78, 45,174.03 and 14,322.34 is: 21,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,115.78 : 45,174.03 = 14,322.34 : x
  2. Step 2: Convert to fraction form
    30,115.78/45,174.03 = 14,322.34/x
  3. Step 3: Cross multiply
    30,115.78x = 45,174.03 × 14,322.34
  4. Step 4: Simplify right side
    30,115.78x = 646,997,813.38
  5. Step 5: Solve for x
    x = 646,997,813.38/30,115.78
  6. Step 6: Final answer
    x = 21,483.68

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1.5x scale

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.