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Finding the Fourth Proportional to 243,051.13, 364,660.58 and 100,972.72

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Solution

The fourth proportional to 243,051.13, 364,660.58 and 100,972.72 is: 151,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,051.13 : 364,660.58 = 100,972.72 : x
  2. Step 2: Convert to fraction form
    243,051.13/364,660.58 = 100,972.72/x
  3. Step 3: Cross multiply
    243,051.13x = 364,660.58 × 100,972.72
  4. Step 4: Simplify right side
    243,051.13x = 36,820,770,639.38
  5. Step 5: Solve for x
    x = 36,820,770,639.38/243,051.13
  6. Step 6: Final answer
    x = 151,493.93

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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.