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Finding the Fourth Proportional to 86,861.25, 119,868.54 and 47,117.25

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Solution

The fourth proportional to 86,861.25, 119,868.54 and 47,117.25 is: 65,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,861.25 : 119,868.54 = 47,117.25 : x
  2. Step 2: Convert to fraction form
    86,861.25/119,868.54 = 47,117.25/x
  3. Step 3: Cross multiply
    86,861.25x = 119,868.54 × 47,117.25
  4. Step 4: Simplify right side
    86,861.25x = 5,647,875,966.32
  5. Step 5: Solve for x
    x = 5,647,875,966.32/86,861.25
  6. Step 6: Final answer
    x = 65,021.81

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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.