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Finding the Fourth Proportional to 98,041.28, 135,321 and 55,624.64

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Solution

The fourth proportional to 98,041.28, 135,321 and 55,624.64 is: 76,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,041.28 : 135,321 = 55,624.64 : x
  2. Step 2: Convert to fraction form
    98,041.28/135,321 = 55,624.64/x
  3. Step 3: Cross multiply
    98,041.28x = 135,321 × 55,624.64
  4. Step 4: Simplify right side
    98,041.28x = 7,527,181,909.44
  5. Step 5: Solve for x
    x = 7,527,181,909.44/98,041.28
  6. Step 6: Final answer
    x = 76,775.64

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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.