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Finding the Fourth Proportional to 98,420, 135,826.90 and 55,992.20

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Solution

The fourth proportional to 98,420, 135,826.90 and 55,992.20 is: 77,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,420 : 135,826.90 = 55,992.20 : x
  2. Step 2: Convert to fraction form
    98,420/135,826.90 = 55,992.20/x
  3. Step 3: Cross multiply
    98,420x = 135,826.90 × 55,992.20
  4. Step 4: Simplify right side
    98,420x = 7,605,246,950.18
  5. Step 5: Solve for x
    x = 7,605,246,950.18/98,420
  6. Step 6: Final answer
    x = 77,273.39

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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.