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Finding the Fourth Proportional to 81,405.94, 112,330.32 and 47,419.96

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Solution

The fourth proportional to 81,405.94, 112,330.32 and 47,419.96 is: 65,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.94 : 112,330.32 = 47,419.96 : x
  2. Step 2: Convert to fraction form
    81,405.94/112,330.32 = 47,419.96/x
  3. Step 3: Cross multiply
    81,405.94x = 112,330.32 × 47,419.96
  4. Step 4: Simplify right side
    81,405.94x = 5,326,699,281.19
  5. Step 5: Solve for x
    x = 5,326,699,281.19/81,405.94
  6. Step 6: Final answer
    x = 65,433.79

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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.