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Finding the Fourth Proportional to 68,461, 102,708.78 and 19,213

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Solution

The fourth proportional to 68,461, 102,708.78 and 19,213 is: 28,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461 : 102,708.78 = 19,213 : x
  2. Step 2: Convert to fraction form
    68,461/102,708.78 = 19,213/x
  3. Step 3: Cross multiply
    68,461x = 102,708.78 × 19,213
  4. Step 4: Simplify right side
    68,461x = 1,973,343,790.14
  5. Step 5: Solve for x
    x = 1,973,343,790.14/68,461
  6. Step 6: Final answer
    x = 28,824.35

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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.