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Finding the Fourth Proportional to 30,085, 45,116.34 and 13,428.52

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Solution

The fourth proportional to 30,085, 45,116.34 and 13,428.52 is: 20,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085 : 45,116.34 = 13,428.52 : x
  2. Step 2: Convert to fraction form
    30,085/45,116.34 = 13,428.52/x
  3. Step 3: Cross multiply
    30,085x = 45,116.34 × 13,428.52
  4. Step 4: Simplify right side
    30,085x = 605,845,674.02
  5. Step 5: Solve for x
    x = 605,845,674.02/30,085
  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.