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Finding the Fourth Proportional to 172,402.54, 238,026.64 and 111,176.11

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Solution

The fourth proportional to 172,402.54, 238,026.64 and 111,176.11 is: 153,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,402.54 : 238,026.64 = 111,176.11 : x
  2. Step 2: Convert to fraction form
    172,402.54/238,026.64 = 111,176.11/x
  3. Step 3: Cross multiply
    172,402.54x = 238,026.64 × 111,176.11
  4. Step 4: Simplify right side
    172,402.54x = 26,462,874,532.58
  5. Step 5: Solve for x
    x = 26,462,874,532.58/172,402.54
  6. Step 6: Final answer
    x = 153,494.69

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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.