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Finding the Fourth Proportional to 81,886.87, 122,633.47 and 46,719.91

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Solution

The fourth proportional to 81,886.87, 122,633.47 and 46,719.91 is: 69,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.87 : 122,633.47 = 46,719.91 : x
  2. Step 2: Convert to fraction form
    81,886.87/122,633.47 = 46,719.91/x
  3. Step 3: Cross multiply
    81,886.87x = 122,633.47 × 46,719.91
  4. Step 4: Simplify right side
    81,886.87x = 5,729,424,681.39
  5. Step 5: Solve for x
    x = 5,729,424,681.39/81,886.87
  6. Step 6: Final answer
    x = 69,967.56

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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.