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Finding the Fourth Proportional to 115,706.88, 159,674.35 and 64,719.03

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Solution

The fourth proportional to 115,706.88, 159,674.35 and 64,719.03 is: 89,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,706.88 : 159,674.35 = 64,719.03 : x
  2. Step 2: Convert to fraction form
    115,706.88/159,674.35 = 64,719.03/x
  3. Step 3: Cross multiply
    115,706.88x = 159,674.35 × 64,719.03
  4. Step 4: Simplify right side
    115,706.88x = 10,333,968,349.97
  5. Step 5: Solve for x
    x = 10,333,968,349.97/115,706.88
  6. Step 6: Final answer
    x = 89,311.62

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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.