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Finding the Fourth Proportional to 105,676.89, 158,536.05 and 39,117.57

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Solution

The fourth proportional to 105,676.89, 158,536.05 and 39,117.57 is: 58,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676.89 : 158,536.05 = 39,117.57 : x
  2. Step 2: Convert to fraction form
    105,676.89/158,536.05 = 39,117.57/x
  3. Step 3: Cross multiply
    105,676.89x = 158,536.05 × 39,117.57
  4. Step 4: Simplify right side
    105,676.89x = 6,201,545,033.40
  5. Step 5: Solve for x
    x = 6,201,545,033.40/105,676.89
  6. Step 6: Final answer
    x = 58,684.02

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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.