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Finding the Fourth Proportional to 236,412.80, 354,651.60 and 78,624.80

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Solution

The fourth proportional to 236,412.80, 354,651.60 and 78,624.80 is: 117,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,412.80 : 354,651.60 = 78,624.80 : x
  2. Step 2: Convert to fraction form
    236,412.80/354,651.60 = 78,624.80/x
  3. Step 3: Cross multiply
    236,412.80x = 354,651.60 × 78,624.80
  4. Step 4: Simplify right side
    236,412.80x = 27,884,411,119.68
  5. Step 5: Solve for x
    x = 27,884,411,119.68/236,412.80
  6. Step 6: Final answer
    x = 117,947.98

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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.