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Finding the Fourth Proportional to 107,280.80, 160,858.90 and 71,782.76

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Solution

The fourth proportional to 107,280.80, 160,858.90 and 71,782.76 is: 107,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,280.80 : 160,858.90 = 71,782.76 : x
  2. Step 2: Convert to fraction form
    107,280.80/160,858.90 = 71,782.76/x
  3. Step 3: Cross multiply
    107,280.80x = 160,858.90 × 71,782.76
  4. Step 4: Simplify right side
    107,280.80x = 11,546,895,812.56
  5. Step 5: Solve for x
    x = 11,546,895,812.56/107,280.80
  6. Step 6: Final answer
    x = 107,632.45

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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.