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Finding the Fourth Proportional to 85,802.46, 118,405.31 and 47,561.33

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Solution

The fourth proportional to 85,802.46, 118,405.31 and 47,561.33 is: 65,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,802.46 : 118,405.31 = 47,561.33 : x
  2. Step 2: Convert to fraction form
    85,802.46/118,405.31 = 47,561.33/x
  3. Step 3: Cross multiply
    85,802.46x = 118,405.31 × 47,561.33
  4. Step 4: Simplify right side
    85,802.46x = 5,631,513,192.83
  5. Step 5: Solve for x
    x = 5,631,513,192.83/85,802.46
  6. Step 6: Final answer
    x = 65,633.47

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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.