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Finding the Fourth Proportional to 254,878.23, 382,292.63 and 77,386.78

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Solution

The fourth proportional to 254,878.23, 382,292.63 and 77,386.78 is: 116,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,878.23 : 382,292.63 = 77,386.78 : x
  2. Step 2: Convert to fraction form
    254,878.23/382,292.63 = 77,386.78/x
  3. Step 3: Cross multiply
    254,878.23x = 382,292.63 × 77,386.78
  4. Step 4: Simplify right side
    254,878.23x = 29,584,396,034.56
  5. Step 5: Solve for x
    x = 29,584,396,034.56/254,878.23
  6. Step 6: Final answer
    x = 116,072.67

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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.