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Finding the Fourth Proportional to 105,802.78, 145,826 and 100,820.06

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Solution

The fourth proportional to 105,802.78, 145,826 and 100,820.06 is: 138,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.78 : 145,826 = 100,820.06 : x
  2. Step 2: Convert to fraction form
    105,802.78/145,826 = 100,820.06/x
  3. Step 3: Cross multiply
    105,802.78x = 145,826 × 100,820.06
  4. Step 4: Simplify right side
    105,802.78x = 14,702,186,069.56
  5. Step 5: Solve for x
    x = 14,702,186,069.56/105,802.78
  6. Step 6: Final answer
    x = 138,958.41

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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.