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Finding the Fourth Proportional to 78,657.36, 108,555 and 48,028.77

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Solution

The fourth proportional to 78,657.36, 108,555 and 48,028.77 is: 66,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.36 : 108,555 = 48,028.77 : x
  2. Step 2: Convert to fraction form
    78,657.36/108,555 = 48,028.77/x
  3. Step 3: Cross multiply
    78,657.36x = 108,555 × 48,028.77
  4. Step 4: Simplify right side
    78,657.36x = 5,213,763,127.35
  5. Step 5: Solve for x
    x = 5,213,763,127.35/78,657.36
  6. Step 6: Final answer
    x = 66,284.49

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Why These Related Problems?

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