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Finding the Fourth Proportional to 86,710, 119,659.80 and 46,966

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Solution

The fourth proportional to 86,710, 119,659.80 and 46,966 is: 64,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,710 : 119,659.80 = 46,966 : x
  2. Step 2: Convert to fraction form
    86,710/119,659.80 = 46,966/x
  3. Step 3: Cross multiply
    86,710x = 119,659.80 × 46,966
  4. Step 4: Simplify right side
    86,710x = 5,619,942,166.80
  5. Step 5: Solve for x
    x = 5,619,942,166.80/86,710
  6. Step 6: Final answer
    x = 64,813.08

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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.