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Finding the Fourth Proportional to 51,829, 77,740.42 and 30,493.71

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Solution

The fourth proportional to 51,829, 77,740.42 and 30,493.71 is: 45,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829 : 77,740.42 = 30,493.71 : x
  2. Step 2: Convert to fraction form
    51,829/77,740.42 = 30,493.71/x
  3. Step 3: Cross multiply
    51,829x = 77,740.42 × 30,493.71
  4. Step 4: Simplify right side
    51,829x = 2,370,593,822.76
  5. Step 5: Solve for x
    x = 2,370,593,822.76/51,829
  6. Step 6: Final answer
    x = 45,738.75

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1.5x scale

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.