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Finding the Fourth Proportional to 115,900.98, 159,935.65 and 64,214.65

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Solution

The fourth proportional to 115,900.98, 159,935.65 and 64,214.65 is: 88,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,900.98 : 159,935.65 = 64,214.65 : x
  2. Step 2: Convert to fraction form
    115,900.98/159,935.65 = 64,214.65/x
  3. Step 3: Cross multiply
    115,900.98x = 159,935.65 × 64,214.65
  4. Step 4: Simplify right side
    115,900.98x = 10,270,211,647.74
  5. Step 5: Solve for x
    x = 10,270,211,647.74/115,900.98
  6. Step 6: Final answer
    x = 88,611.95

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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.