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Finding the Fourth Proportional to 86,754.56, 119,710.71 and 47,987.15

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Solution

The fourth proportional to 86,754.56, 119,710.71 and 47,987.15 is: 66,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,754.56 : 119,710.71 = 47,987.15 : x
  2. Step 2: Convert to fraction form
    86,754.56/119,710.71 = 47,987.15/x
  3. Step 3: Cross multiply
    86,754.56x = 119,710.71 × 47,987.15
  4. Step 4: Simplify right side
    86,754.56x = 5,744,575,198.82
  5. Step 5: Solve for x
    x = 5,744,575,198.82/86,754.56
  6. Step 6: Final answer
    x = 66,216.41

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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.