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Finding the Fourth Proportional to 86,049.60, 118,746.70 and 47,808.96

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Solution

The fourth proportional to 86,049.60, 118,746.70 and 47,808.96 is: 65,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,049.60 : 118,746.70 = 47,808.96 : x
  2. Step 2: Convert to fraction form
    86,049.60/118,746.70 = 47,808.96/x
  3. Step 3: Cross multiply
    86,049.60x = 118,746.70 × 47,808.96
  4. Step 4: Simplify right side
    86,049.60x = 5,677,156,230.43
  5. Step 5: Solve for x
    x = 5,677,156,230.43/86,049.60
  6. Step 6: Final answer
    x = 65,975.39

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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.