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Finding the Fourth Proportional to 83,840, 115,702.40 and 46,113.44

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Solution

The fourth proportional to 83,840, 115,702.40 and 46,113.44 is: 63,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,840 : 115,702.40 = 46,113.44 : x
  2. Step 2: Convert to fraction form
    83,840/115,702.40 = 46,113.44/x
  3. Step 3: Cross multiply
    83,840x = 115,702.40 × 46,113.44
  4. Step 4: Simplify right side
    83,840x = 5,335,435,680.26
  5. Step 5: Solve for x
    x = 5,335,435,680.26/83,840
  6. Step 6: Final answer
    x = 63,638.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.