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Finding the Fourth Proportional to 85,384.56, 117,830.40 and 47,658.48

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Solution

The fourth proportional to 85,384.56, 117,830.40 and 47,658.48 is: 65,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.56 : 117,830.40 = 47,658.48 : x
  2. Step 2: Convert to fraction form
    85,384.56/117,830.40 = 47,658.48/x
  3. Step 3: Cross multiply
    85,384.56x = 117,830.40 × 47,658.48
  4. Step 4: Simplify right side
    85,384.56x = 5,615,617,761.79
  5. Step 5: Solve for x
    x = 5,615,617,761.79/85,384.56
  6. Step 6: Final answer
    x = 65,768.54

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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.