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Finding the Fourth Proportional to 178,165.81, 245,855.48 and 101,682.78

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Solution

The fourth proportional to 178,165.81, 245,855.48 and 101,682.78 is: 140,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,165.81 : 245,855.48 = 101,682.78 : x
  2. Step 2: Convert to fraction form
    178,165.81/245,855.48 = 101,682.78/x
  3. Step 3: Cross multiply
    178,165.81x = 245,855.48 × 101,682.78
  4. Step 4: Simplify right side
    178,165.81x = 24,999,268,684.63
  5. Step 5: Solve for x
    x = 24,999,268,684.63/178,165.81
  6. Step 6: Final answer
    x = 140,314.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.