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Finding the Fourth Proportional to 84,187.68, 116,178 and 46,461.12

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Solution

The fourth proportional to 84,187.68, 116,178 and 46,461.12 is: 64,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,187.68 : 116,178 = 46,461.12 : x
  2. Step 2: Convert to fraction form
    84,187.68/116,178 = 46,461.12/x
  3. Step 3: Cross multiply
    84,187.68x = 116,178 × 46,461.12
  4. Step 4: Simplify right side
    84,187.68x = 5,397,759,999.36
  5. Step 5: Solve for x
    x = 5,397,759,999.36/84,187.68
  6. Step 6: Final answer
    x = 64,115.79

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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.