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Finding the Fourth Proportional to 83,705.44, 115,456.18 and 53,477.39

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Solution

The fourth proportional to 83,705.44, 115,456.18 and 53,477.39 is: 73,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,705.44 : 115,456.18 = 53,477.39 : x
  2. Step 2: Convert to fraction form
    83,705.44/115,456.18 = 53,477.39/x
  3. Step 3: Cross multiply
    83,705.44x = 115,456.18 × 53,477.39
  4. Step 4: Simplify right side
    83,705.44x = 6,174,295,165.77
  5. Step 5: Solve for x
    x = 6,174,295,165.77/83,705.44
  6. Step 6: Final answer
    x = 73,762.17

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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.