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Finding the Fourth Proportional to 107,393.69, 148,219.46 and 77,278.70

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Solution

The fourth proportional to 107,393.69, 148,219.46 and 77,278.70 is: 106,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,393.69 : 148,219.46 = 77,278.70 : x
  2. Step 2: Convert to fraction form
    107,393.69/148,219.46 = 77,278.70/x
  3. Step 3: Cross multiply
    107,393.69x = 148,219.46 × 77,278.70
  4. Step 4: Simplify right side
    107,393.69x = 11,454,207,183.50
  5. Step 5: Solve for x
    x = 11,454,207,183.50/107,393.69
  6. Step 6: Final answer
    x = 106,656.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.