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Finding the Fourth Proportional to 51,661.98, 77,527.05 and 18,829.98

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Solution

The fourth proportional to 51,661.98, 77,527.05 and 18,829.98 is: 28,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,661.98 : 77,527.05 = 18,829.98 : x
  2. Step 2: Convert to fraction form
    51,661.98/77,527.05 = 18,829.98/x
  3. Step 3: Cross multiply
    51,661.98x = 77,527.05 × 18,829.98
  4. Step 4: Simplify right side
    51,661.98x = 1,459,832,800.96
  5. Step 5: Solve for x
    x = 1,459,832,800.96/51,661.98
  6. Step 6: Final answer
    x = 28,257.39

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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.