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Finding the Fourth Proportional to 35,612.14, 53,418.14 and 13,430.49

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Solution

The fourth proportional to 35,612.14, 53,418.14 and 13,430.49 is: 20,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612.14 : 53,418.14 = 13,430.49 : x
  2. Step 2: Convert to fraction form
    35,612.14/53,418.14 = 13,430.49/x
  3. Step 3: Cross multiply
    35,612.14x = 53,418.14 × 13,430.49
  4. Step 4: Simplify right side
    35,612.14x = 717,431,795.09
  5. Step 5: Solve for x
    x = 717,431,795.09/35,612.14
  6. Step 6: Final answer
    x = 20,145.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.