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Finding the Fourth Proportional to 135,489.90, 186,970.77 and 74,235

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Solution

The fourth proportional to 135,489.90, 186,970.77 and 74,235 is: 102,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,489.90 : 186,970.77 = 74,235 : x
  2. Step 2: Convert to fraction form
    135,489.90/186,970.77 = 74,235/x
  3. Step 3: Cross multiply
    135,489.90x = 186,970.77 × 74,235
  4. Step 4: Simplify right side
    135,489.90x = 13,879,775,110.95
  5. Step 5: Solve for x
    x = 13,879,775,110.95/135,489.90
  6. Step 6: Final answer
    x = 102,441.40

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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.