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Finding the Fourth Proportional to 98,190, 135,502.20 and 53,478

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Solution

The fourth proportional to 98,190, 135,502.20 and 53,478 is: 73,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190 : 135,502.20 = 53,478 : x
  2. Step 2: Convert to fraction form
    98,190/135,502.20 = 53,478/x
  3. Step 3: Cross multiply
    98,190x = 135,502.20 × 53,478
  4. Step 4: Simplify right side
    98,190x = 7,246,386,651.60
  5. Step 5: Solve for x
    x = 7,246,386,651.60/98,190
  6. Step 6: Final answer
    x = 73,799.64

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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.