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Finding the Fourth Proportional to 77,012.56, 115,529.81 and 23,708.98

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Solution

The fourth proportional to 77,012.56, 115,529.81 and 23,708.98 is: 35,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,012.56 : 115,529.81 = 23,708.98 : x
  2. Step 2: Convert to fraction form
    77,012.56/115,529.81 = 23,708.98/x
  3. Step 3: Cross multiply
    77,012.56x = 115,529.81 × 23,708.98
  4. Step 4: Simplify right side
    77,012.56x = 2,739,093,547.32
  5. Step 5: Solve for x
    x = 2,739,093,547.32/77,012.56
  6. Step 6: Final answer
    x = 35,566.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.