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Finding the Fourth Proportional to 105,803.58, 158,767.44 and 39,289.89

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Solution

The fourth proportional to 105,803.58, 158,767.44 and 39,289.89 is: 58,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,803.58 : 158,767.44 = 39,289.89 : x
  2. Step 2: Convert to fraction form
    105,803.58/158,767.44 = 39,289.89/x
  3. Step 3: Cross multiply
    105,803.58x = 158,767.44 × 39,289.89
  4. Step 4: Simplify right side
    105,803.58x = 6,237,955,253.18
  5. Step 5: Solve for x
    x = 6,237,955,253.18/105,803.58
  6. Step 6: Final answer
    x = 58,957.88

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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.