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Finding the Fourth Proportional to 85,435.43, 117,897.13 and 47,708.87

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Solution

The fourth proportional to 85,435.43, 117,897.13 and 47,708.87 is: 65,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,435.43 : 117,897.13 = 47,708.87 : x
  2. Step 2: Convert to fraction form
    85,435.43/117,897.13 = 47,708.87/x
  3. Step 3: Cross multiply
    85,435.43x = 117,897.13 × 47,708.87
  4. Step 4: Simplify right side
    85,435.43x = 5,624,738,848.54
  5. Step 5: Solve for x
    x = 5,624,738,848.54/85,435.43
  6. Step 6: Final answer
    x = 65,836.14

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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.