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Finding the Fourth Proportional to 105,813.76, 158,729.96 and 39,254.60

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Solution

The fourth proportional to 105,813.76, 158,729.96 and 39,254.60 is: 58,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,813.76 : 158,729.96 = 39,254.60 : x
  2. Step 2: Convert to fraction form
    105,813.76/158,729.96 = 39,254.60/x
  3. Step 3: Cross multiply
    105,813.76x = 158,729.96 × 39,254.60
  4. Step 4: Simplify right side
    105,813.76x = 6,230,881,087.82
  5. Step 5: Solve for x
    x = 6,230,881,087.82/105,813.76
  6. Step 6: Final answer
    x = 58,885.36

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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.