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Finding the Fourth Proportional to 101,464.56, 140,154.88 and 77,882.64

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Solution

The fourth proportional to 101,464.56, 140,154.88 and 77,882.64 is: 107,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,464.56 : 140,154.88 = 77,882.64 : x
  2. Step 2: Convert to fraction form
    101,464.56/140,154.88 = 77,882.64/x
  3. Step 3: Cross multiply
    101,464.56x = 140,154.88 × 77,882.64
  4. Step 4: Simplify right side
    101,464.56x = 10,915,632,063.28
  5. Step 5: Solve for x
    x = 10,915,632,063.28/101,464.56
  6. Step 6: Final answer
    x = 107,580.74

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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.