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Finding the Fourth Proportional to 77,126.72, 106,442.73 and 46,914.13

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Solution

The fourth proportional to 77,126.72, 106,442.73 and 46,914.13 is: 64,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,126.72 : 106,442.73 = 46,914.13 : x
  2. Step 2: Convert to fraction form
    77,126.72/106,442.73 = 46,914.13/x
  3. Step 3: Cross multiply
    77,126.72x = 106,442.73 × 46,914.13
  4. Step 4: Simplify right side
    77,126.72x = 4,993,667,806.67
  5. Step 5: Solve for x
    x = 4,993,667,806.67/77,126.72
  6. Step 6: Final answer
    x = 64,746.27

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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.