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Finding the Fourth Proportional to 81,673.98, 112,706.60 and 47,684.35

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Solution

The fourth proportional to 81,673.98, 112,706.60 and 47,684.35 is: 65,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,673.98 : 112,706.60 = 47,684.35 : x
  2. Step 2: Convert to fraction form
    81,673.98/112,706.60 = 47,684.35/x
  3. Step 3: Cross multiply
    81,673.98x = 112,706.60 × 47,684.35
  4. Step 4: Simplify right side
    81,673.98x = 5,374,340,961.71
  5. Step 5: Solve for x
    x = 5,374,340,961.71/81,673.98
  6. Step 6: Final answer
    x = 65,802.37

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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.