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Finding the Fourth Proportional to 86,907, 119,931.66 and 47,163

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Solution

The fourth proportional to 86,907, 119,931.66 and 47,163 is: 65,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,907 : 119,931.66 = 47,163 : x
  2. Step 2: Convert to fraction form
    86,907/119,931.66 = 47,163/x
  3. Step 3: Cross multiply
    86,907x = 119,931.66 × 47,163
  4. Step 4: Simplify right side
    86,907x = 5,656,336,880.58
  5. Step 5: Solve for x
    x = 5,656,336,880.58/86,907
  6. Step 6: Final answer
    x = 65,084.94

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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.