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Finding the Fourth Proportional to 85,369.70, 117,822.06 and 47,646.38

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Solution

The fourth proportional to 85,369.70, 117,822.06 and 47,646.38 is: 65,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,369.70 : 117,822.06 = 47,646.38 : x
  2. Step 2: Convert to fraction form
    85,369.70/117,822.06 = 47,646.38/x
  3. Step 3: Cross multiply
    85,369.70x = 117,822.06 × 47,646.38
  4. Step 4: Simplify right side
    85,369.70x = 5,613,794,643.14
  5. Step 5: Solve for x
    x = 5,613,794,643.14/85,369.70
  6. Step 6: Final answer
    x = 65,758.63

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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.