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Finding the Fourth Proportional to 30,458.94, 42,059.16 and 25,449.90

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Solution

The fourth proportional to 30,458.94, 42,059.16 and 25,449.90 is: 35,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.94 : 42,059.16 = 25,449.90 : x
  2. Step 2: Convert to fraction form
    30,458.94/42,059.16 = 25,449.90/x
  3. Step 3: Cross multiply
    30,458.94x = 42,059.16 × 25,449.90
  4. Step 4: Simplify right side
    30,458.94x = 1,070,401,416.08
  5. Step 5: Solve for x
    x = 1,070,401,416.08/30,458.94
  6. Step 6: Final answer
    x = 35,142.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.