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Finding the Fourth Proportional to 105,802.58, 158,765.94 and 39,288.89

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Solution

The fourth proportional to 105,802.58, 158,765.94 and 39,288.89 is: 58,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.58 : 158,765.94 = 39,288.89 : x
  2. Step 2: Convert to fraction form
    105,802.58/158,765.94 = 39,288.89/x
  3. Step 3: Cross multiply
    105,802.58x = 158,765.94 × 39,288.89
  4. Step 4: Simplify right side
    105,802.58x = 6,237,737,355.96
  5. Step 5: Solve for x
    x = 6,237,737,355.96/105,802.58
  6. Step 6: Final answer
    x = 58,956.38

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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.