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Finding the Fourth Proportional to 172,643, 238,243.64 and 96,161.84

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Solution

The fourth proportional to 172,643, 238,243.64 and 96,161.84 is: 132,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,643 : 238,243.64 = 96,161.84 : x
  2. Step 2: Convert to fraction form
    172,643/238,243.64 = 96,161.84/x
  3. Step 3: Cross multiply
    172,643x = 238,243.64 × 96,161.84
  4. Step 4: Simplify right side
    172,643x = 22,909,946,790.70
  5. Step 5: Solve for x
    x = 22,909,946,790.70/172,643
  6. Step 6: Final answer
    x = 132,701.28

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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.