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Finding the Fourth Proportional to 106,266.44, 159,005.93 and 78,207.22

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Solution

The fourth proportional to 106,266.44, 159,005.93 and 78,207.22 is: 117,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,266.44 : 159,005.93 = 78,207.22 : x
  2. Step 2: Convert to fraction form
    106,266.44/159,005.93 = 78,207.22/x
  3. Step 3: Cross multiply
    106,266.44x = 159,005.93 × 78,207.22
  4. Step 4: Simplify right side
    106,266.44x = 12,435,411,748.81
  5. Step 5: Solve for x
    x = 12,435,411,748.81/106,266.44
  6. Step 6: Final answer
    x = 117,021.06

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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.