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Finding the Fourth Proportional to 172,993.11, 238,689.75 and 105,008.40

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Solution

The fourth proportional to 172,993.11, 238,689.75 and 105,008.40 is: 144,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,993.11 : 238,689.75 = 105,008.40 : x
  2. Step 2: Convert to fraction form
    172,993.11/238,689.75 = 105,008.40/x
  3. Step 3: Cross multiply
    172,993.11x = 238,689.75 × 105,008.40
  4. Step 4: Simplify right side
    172,993.11x = 25,064,428,743.90
  5. Step 5: Solve for x
    x = 25,064,428,743.90/172,993.11
  6. Step 6: Final answer
    x = 144,886.86

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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.