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Finding the Fourth Proportional to 85,379.61, 117,823.23 and 47,139.24

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Solution

The fourth proportional to 85,379.61, 117,823.23 and 47,139.24 is: 65,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,379.61 : 117,823.23 = 47,139.24 : x
  2. Step 2: Convert to fraction form
    85,379.61/117,823.23 = 47,139.24/x
  3. Step 3: Cross multiply
    85,379.61x = 117,823.23 × 47,139.24
  4. Step 4: Simplify right side
    85,379.61x = 5,554,097,516.55
  5. Step 5: Solve for x
    x = 5,554,097,516.55/85,379.61
  6. Step 6: Final answer
    x = 65,051.80

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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.