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Finding the Fourth Proportional to 169,643.69, 234,137.09 and 98,065.21

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Solution

The fourth proportional to 169,643.69, 234,137.09 and 98,065.21 is: 135,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,643.69 : 234,137.09 = 98,065.21 : x
  2. Step 2: Convert to fraction form
    169,643.69/234,137.09 = 98,065.21/x
  3. Step 3: Cross multiply
    169,643.69x = 234,137.09 × 98,065.21
  4. Step 4: Simplify right side
    169,643.69x = 22,960,701,238.63
  5. Step 5: Solve for x
    x = 22,960,701,238.63/169,643.69
  6. Step 6: Final answer
    x = 135,346.63

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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.