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Finding the Fourth Proportional to 82,137, 113,342.54 and 46,315.56

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Solution

The fourth proportional to 82,137, 113,342.54 and 46,315.56 is: 63,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137 : 113,342.54 = 46,315.56 : x
  2. Step 2: Convert to fraction form
    82,137/113,342.54 = 46,315.56/x
  3. Step 3: Cross multiply
    82,137x = 113,342.54 × 46,315.56
  4. Step 4: Simplify right side
    82,137x = 5,249,523,211.92
  5. Step 5: Solve for x
    x = 5,249,523,211.92/82,137
  6. Step 6: Final answer
    x = 63,911.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.