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Finding the Fourth Proportional to 68,460, 102,707.28 and 19,212

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Solution

The fourth proportional to 68,460, 102,707.28 and 19,212 is: 28,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460 : 102,707.28 = 19,212 : x
  2. Step 2: Convert to fraction form
    68,460/102,707.28 = 19,212/x
  3. Step 3: Cross multiply
    68,460x = 102,707.28 × 19,212
  4. Step 4: Simplify right side
    68,460x = 1,973,212,263.36
  5. Step 5: Solve for x
    x = 1,973,212,263.36/68,460
  6. Step 6: Final answer
    x = 28,822.85

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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.