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Finding the Fourth Proportional to 69,895, 96,461.58 and 40,087

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Solution

The fourth proportional to 69,895, 96,461.58 and 40,087 is: 55,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,895 : 96,461.58 = 40,087 : x
  2. Step 2: Convert to fraction form
    69,895/96,461.58 = 40,087/x
  3. Step 3: Cross multiply
    69,895x = 96,461.58 × 40,087
  4. Step 4: Simplify right side
    69,895x = 3,866,855,357.46
  5. Step 5: Solve for x
    x = 3,866,855,357.46/69,895
  6. Step 6: Final answer
    x = 55,323.78

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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.