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Finding the Fourth Proportional to 81,314.64, 112,199.45 and 46,854

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Solution

The fourth proportional to 81,314.64, 112,199.45 and 46,854 is: 64,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,314.64 : 112,199.45 = 46,854 : x
  2. Step 2: Convert to fraction form
    81,314.64/112,199.45 = 46,854/x
  3. Step 3: Cross multiply
    81,314.64x = 112,199.45 × 46,854
  4. Step 4: Simplify right side
    81,314.64x = 5,256,992,796.03
  5. Step 5: Solve for x
    x = 5,256,992,796.03/81,314.64
  6. Step 6: Final answer
    x = 64,650.02

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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.