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Finding the Fourth Proportional to 98,407, 135,800.94 and 55,965.48

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Solution

The fourth proportional to 98,407, 135,800.94 and 55,965.48 is: 77,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,407 : 135,800.94 = 55,965.48 : x
  2. Step 2: Convert to fraction form
    98,407/135,800.94 = 55,965.48/x
  3. Step 3: Cross multiply
    98,407x = 135,800.94 × 55,965.48
  4. Step 4: Simplify right side
    98,407x = 7,600,164,791.55
  5. Step 5: Solve for x
    x = 7,600,164,791.55/98,407
  6. Step 6: Final answer
    x = 77,231.95

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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.