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Finding the Fourth Proportional to 115,813.70, 159,815.51 and 64,817.84

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Solution

The fourth proportional to 115,813.70, 159,815.51 and 64,817.84 is: 89,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,813.70 : 159,815.51 = 64,817.84 : x
  2. Step 2: Convert to fraction form
    115,813.70/159,815.51 = 64,817.84/x
  3. Step 3: Cross multiply
    115,813.70x = 159,815.51 × 64,817.84
  4. Step 4: Simplify right side
    115,813.70x = 10,358,895,940.85
  5. Step 5: Solve for x
    x = 10,358,895,940.85/115,813.70
  6. Step 6: Final answer
    x = 89,444.48

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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.