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Finding the Fourth Proportional to 30,158.50, 45,238.04 and 11,433.50

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Solution

The fourth proportional to 30,158.50, 45,238.04 and 11,433.50 is: 17,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158.50 : 45,238.04 = 11,433.50 : x
  2. Step 2: Convert to fraction form
    30,158.50/45,238.04 = 11,433.50/x
  3. Step 3: Cross multiply
    30,158.50x = 45,238.04 × 11,433.50
  4. Step 4: Simplify right side
    30,158.50x = 517,229,130.34
  5. Step 5: Solve for x
    x = 517,229,130.34/30,158.50
  6. Step 6: Final answer
    x = 17,150.36

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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.