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Finding the Fourth Proportional to 105,636, 158,454.90 and 26,750.28

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Solution

The fourth proportional to 105,636, 158,454.90 and 26,750.28 is: 40,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,636 : 158,454.90 = 26,750.28 : x
  2. Step 2: Convert to fraction form
    105,636/158,454.90 = 26,750.28/x
  3. Step 3: Cross multiply
    105,636x = 158,454.90 × 26,750.28
  4. Step 4: Simplify right side
    105,636x = 4,238,712,942.37
  5. Step 5: Solve for x
    x = 4,238,712,942.37/105,636
  6. Step 6: Final answer
    x = 40,125.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.