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Finding the Fourth Proportional to 118,829, 163,984.02 and 65,837

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Solution

The fourth proportional to 118,829, 163,984.02 and 65,837 is: 90,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,829 : 163,984.02 = 65,837 : x
  2. Step 2: Convert to fraction form
    118,829/163,984.02 = 65,837/x
  3. Step 3: Cross multiply
    118,829x = 163,984.02 × 65,837
  4. Step 4: Simplify right side
    118,829x = 10,796,215,924.74
  5. Step 5: Solve for x
    x = 10,796,215,924.74/118,829
  6. Step 6: Final answer
    x = 90,855.06

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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.