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Finding the Fourth Proportional to 78,012.36, 107,622.32 and 46,162.82

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Solution

The fourth proportional to 78,012.36, 107,622.32 and 46,162.82 is: 63,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.36 : 107,622.32 = 46,162.82 : x
  2. Step 2: Convert to fraction form
    78,012.36/107,622.32 = 46,162.82/x
  3. Step 3: Cross multiply
    78,012.36x = 107,622.32 × 46,162.82
  4. Step 4: Simplify right side
    78,012.36x = 4,968,149,017.22
  5. Step 5: Solve for x
    x = 4,968,149,017.22/78,012.36
  6. Step 6: Final answer
    x = 63,684.13

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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.