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Finding the Fourth Proportional to 81,958, 113,101.68 and 46,148.08

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Solution

The fourth proportional to 81,958, 113,101.68 and 46,148.08 is: 63,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958 : 113,101.68 = 46,148.08 : x
  2. Step 2: Convert to fraction form
    81,958/113,101.68 = 46,148.08/x
  3. Step 3: Cross multiply
    81,958x = 113,101.68 × 46,148.08
  4. Step 4: Simplify right side
    81,958x = 5,219,425,376.77
  5. Step 5: Solve for x
    x = 5,219,425,376.77/81,958
  6. Step 6: Final answer
    x = 63,684.15

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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.