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Finding the Fourth Proportional to 30,064.32, 45,094.32 and 13,425.84

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Solution

The fourth proportional to 30,064.32, 45,094.32 and 13,425.84 is: 20,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,064.32 : 45,094.32 = 13,425.84 : x
  2. Step 2: Convert to fraction form
    30,064.32/45,094.32 = 13,425.84/x
  3. Step 3: Cross multiply
    30,064.32x = 45,094.32 × 13,425.84
  4. Step 4: Simplify right side
    30,064.32x = 605,429,125.23
  5. Step 5: Solve for x
    x = 605,429,125.23/30,064.32
  6. Step 6: Final answer
    x = 20,137.80

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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.