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Finding the Fourth Proportional to 69,894, 96,460.20 and 40,086

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Solution

The fourth proportional to 69,894, 96,460.20 and 40,086 is: 55,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,894 : 96,460.20 = 40,086 : x
  2. Step 2: Convert to fraction form
    69,894/96,460.20 = 40,086/x
  3. Step 3: Cross multiply
    69,894x = 96,460.20 × 40,086
  4. Step 4: Simplify right side
    69,894x = 3,866,703,577.20
  5. Step 5: Solve for x
    x = 3,866,703,577.20/69,894
  6. Step 6: Final answer
    x = 55,322.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.