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Finding the Fourth Proportional to 98,419, 135,825.52 and 55,991.20

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Solution

The fourth proportional to 98,419, 135,825.52 and 55,991.20 is: 77,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,419 : 135,825.52 = 55,991.20 : x
  2. Step 2: Convert to fraction form
    98,419/135,825.52 = 55,991.20/x
  3. Step 3: Cross multiply
    98,419x = 135,825.52 × 55,991.20
  4. Step 4: Simplify right side
    98,419x = 7,605,033,855.42
  5. Step 5: Solve for x
    x = 7,605,033,855.42/98,419
  6. Step 6: Final answer
    x = 77,272.01

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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.