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Finding the Fourth Proportional to 30,219.30, 45,328.73 and 9,159.30

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Solution

The fourth proportional to 30,219.30, 45,328.73 and 9,159.30 is: 13,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.30 : 45,328.73 = 9,159.30 : x
  2. Step 2: Convert to fraction form
    30,219.30/45,328.73 = 9,159.30/x
  3. Step 3: Cross multiply
    30,219.30x = 45,328.73 × 9,159.30
  4. Step 4: Simplify right side
    30,219.30x = 415,179,390.89
  5. Step 5: Solve for x
    x = 415,179,390.89/30,219.30
  6. Step 6: Final answer
    x = 13,738.88

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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.