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Finding the Fourth Proportional to 30,429.50, 45,650.01 and 14,013.50

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Solution

The fourth proportional to 30,429.50, 45,650.01 and 14,013.50 is: 21,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.50 : 45,650.01 = 14,013.50 : x
  2. Step 2: Convert to fraction form
    30,429.50/45,650.01 = 14,013.50/x
  3. Step 3: Cross multiply
    30,429.50x = 45,650.01 × 14,013.50
  4. Step 4: Simplify right side
    30,429.50x = 639,716,415.14
  5. Step 5: Solve for x
    x = 639,716,415.14/30,429.50
  6. Step 6: Final answer
    x = 21,022.90

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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.