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Finding the Fourth Proportional to 115,482.68, 159,257.94 and 76,651.82

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Solution

The fourth proportional to 115,482.68, 159,257.94 and 76,651.82 is: 105,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,482.68 : 159,257.94 = 76,651.82 : x
  2. Step 2: Convert to fraction form
    115,482.68/159,257.94 = 76,651.82/x
  3. Step 3: Cross multiply
    115,482.68x = 159,257.94 × 76,651.82
  4. Step 4: Simplify right side
    115,482.68x = 12,207,410,950.45
  5. Step 5: Solve for x
    x = 12,207,410,950.45/115,482.68
  6. Step 6: Final answer
    x = 105,707.72

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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.