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Finding the Fourth Proportional to 74,646, 111,975.48 and 19,242

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Solution

The fourth proportional to 74,646, 111,975.48 and 19,242 is: 28,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646 : 111,975.48 = 19,242 : x
  2. Step 2: Convert to fraction form
    74,646/111,975.48 = 19,242/x
  3. Step 3: Cross multiply
    74,646x = 111,975.48 × 19,242
  4. Step 4: Simplify right side
    74,646x = 2,154,632,186.16
  5. Step 5: Solve for x
    x = 2,154,632,186.16/74,646
  6. Step 6: Final answer
    x = 28,864.67

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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.