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Finding the Fourth Proportional to 152,021.68, 209,790.20 and 84,953.68

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Solution

The fourth proportional to 152,021.68, 209,790.20 and 84,953.68 is: 117,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,021.68 : 209,790.20 = 84,953.68 : x
  2. Step 2: Convert to fraction form
    152,021.68/209,790.20 = 84,953.68/x
  3. Step 3: Cross multiply
    152,021.68x = 209,790.20 × 84,953.68
  4. Step 4: Simplify right side
    152,021.68x = 17,822,449,517.94
  5. Step 5: Solve for x
    x = 17,822,449,517.94/152,021.68
  6. Step 6: Final answer
    x = 117,236.24

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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.