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Finding the Fourth Proportional to 172,411.84, 237,852.96 and 105,304

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Solution

The fourth proportional to 172,411.84, 237,852.96 and 105,304 is: 145,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,411.84 : 237,852.96 = 105,304 : x
  2. Step 2: Convert to fraction form
    172,411.84/237,852.96 = 105,304/x
  3. Step 3: Cross multiply
    172,411.84x = 237,852.96 × 105,304
  4. Step 4: Simplify right side
    172,411.84x = 25,046,868,099.84
  5. Step 5: Solve for x
    x = 25,046,868,099.84/172,411.84
  6. Step 6: Final answer
    x = 145,273.48

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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.