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Finding the Fourth Proportional to 69,886, 96,444.84 and 40,078

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Solution

The fourth proportional to 69,886, 96,444.84 and 40,078 is: 55,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,886 : 96,444.84 = 40,078 : x
  2. Step 2: Convert to fraction form
    69,886/96,444.84 = 40,078/x
  3. Step 3: Cross multiply
    69,886x = 96,444.84 × 40,078
  4. Step 4: Simplify right side
    69,886x = 3,865,316,297.52
  5. Step 5: Solve for x
    x = 3,865,316,297.52/69,886
  6. Step 6: Final answer
    x = 55,308.88

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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.