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Finding the Fourth Proportional to 51,300, 76,727.64 and 30,189.72

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Solution

The fourth proportional to 51,300, 76,727.64 and 30,189.72 is: 45,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,300 : 76,727.64 = 30,189.72 : x
  2. Step 2: Convert to fraction form
    51,300/76,727.64 = 30,189.72/x
  3. Step 3: Cross multiply
    51,300x = 76,727.64 × 30,189.72
  4. Step 4: Simplify right side
    51,300x = 2,316,385,967.86
  5. Step 5: Solve for x
    x = 2,316,385,967.86/51,300
  6. Step 6: Final answer
    x = 45,153.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.