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Finding the Fourth Proportional to 85,055.73, 117,397.74 and 65,897.61

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Solution

The fourth proportional to 85,055.73, 117,397.74 and 65,897.61 is: 90,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,055.73 : 117,397.74 = 65,897.61 : x
  2. Step 2: Convert to fraction form
    85,055.73/117,397.74 = 65,897.61/x
  3. Step 3: Cross multiply
    85,055.73x = 117,397.74 × 65,897.61
  4. Step 4: Simplify right side
    85,055.73x = 7,736,230,485.40
  5. Step 5: Solve for x
    x = 7,736,230,485.40/85,055.73
  6. Step 6: Final answer
    x = 90,954.84

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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.