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Finding the Fourth Proportional to 77,774, 116,551.64 and 44,444.12

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Solution

The fourth proportional to 77,774, 116,551.64 and 44,444.12 is: 66,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,774 : 116,551.64 = 44,444.12 : x
  2. Step 2: Convert to fraction form
    77,774/116,551.64 = 44,444.12/x
  3. Step 3: Cross multiply
    77,774x = 116,551.64 × 44,444.12
  4. Step 4: Simplify right side
    77,774x = 5,180,035,074.36
  5. Step 5: Solve for x
    x = 5,180,035,074.36/77,774
  6. Step 6: Final answer
    x = 66,603.69

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Why These Related Problems?

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