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Finding the Fourth Proportional to 67,786, 101,686.04 and 18,538

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Solution

The fourth proportional to 67,786, 101,686.04 and 18,538 is: 27,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,786 : 101,686.04 = 18,538 : x
  2. Step 2: Convert to fraction form
    67,786/101,686.04 = 18,538/x
  3. Step 3: Cross multiply
    67,786x = 101,686.04 × 18,538
  4. Step 4: Simplify right side
    67,786x = 1,885,055,809.52
  5. Step 5: Solve for x
    x = 1,885,055,809.52/67,786
  6. Step 6: Final answer
    x = 27,808.93

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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.