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Finding the Fourth Proportional to 161,759.80, 242,858.40 and 102,710.80

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Solution

The fourth proportional to 161,759.80, 242,858.40 and 102,710.80 is: 154,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,759.80 : 242,858.40 = 102,710.80 : x
  2. Step 2: Convert to fraction form
    161,759.80/242,858.40 = 102,710.80/x
  3. Step 3: Cross multiply
    161,759.80x = 242,858.40 × 102,710.80
  4. Step 4: Simplify right side
    161,759.80x = 24,944,180,550.72
  5. Step 5: Solve for x
    x = 24,944,180,550.72/161,759.80
  6. Step 6: Final answer
    x = 154,205.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.