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Finding the Fourth Proportional to 51,852.65, 77,728.41 and 28,138.76

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Solution

The fourth proportional to 51,852.65, 77,728.41 and 28,138.76 is: 42,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852.65 : 77,728.41 = 28,138.76 : x
  2. Step 2: Convert to fraction form
    51,852.65/77,728.41 = 28,138.76/x
  3. Step 3: Cross multiply
    51,852.65x = 77,728.41 × 28,138.76
  4. Step 4: Simplify right side
    51,852.65x = 2,187,181,074.17
  5. Step 5: Solve for x
    x = 2,187,181,074.17/51,852.65
  6. Step 6: Final answer
    x = 42,180.70

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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.