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Finding the Fourth Proportional to 76,702.26, 105,858.82 and 43,174.74

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Solution

The fourth proportional to 76,702.26, 105,858.82 and 43,174.74 is: 59,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.26 : 105,858.82 = 43,174.74 : x
  2. Step 2: Convert to fraction form
    76,702.26/105,858.82 = 43,174.74/x
  3. Step 3: Cross multiply
    76,702.26x = 105,858.82 × 43,174.74
  4. Step 4: Simplify right side
    76,702.26x = 4,570,427,030.21
  5. Step 5: Solve for x
    x = 4,570,427,030.21/76,702.26
  6. Step 6: Final answer
    x = 59,586.60

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1.5x scale

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.