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Finding the Fourth Proportional to 77,842.84, 116,689.50 and 49,683.40

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Solution

The fourth proportional to 77,842.84, 116,689.50 and 49,683.40 is: 74,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.84 : 116,689.50 = 49,683.40 : x
  2. Step 2: Convert to fraction form
    77,842.84/116,689.50 = 49,683.40/x
  3. Step 3: Cross multiply
    77,842.84x = 116,689.50 × 49,683.40
  4. Step 4: Simplify right side
    77,842.84x = 5,797,531,104.30
  5. Step 5: Solve for x
    x = 5,797,531,104.30/77,842.84
  6. Step 6: Final answer
    x = 74,477.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.