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Finding the Fourth Proportional to 68,666.52, 102,988.26 and 19,407

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Solution

The fourth proportional to 68,666.52, 102,988.26 and 19,407 is: 29,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,666.52 : 102,988.26 = 19,407 : x
  2. Step 2: Convert to fraction form
    68,666.52/102,988.26 = 19,407/x
  3. Step 3: Cross multiply
    68,666.52x = 102,988.26 × 19,407
  4. Step 4: Simplify right side
    68,666.52x = 1,998,693,161.82
  5. Step 5: Solve for x
    x = 1,998,693,161.82/68,666.52
  6. Step 6: Final answer
    x = 29,107.24

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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.