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Finding the Fourth Proportional to 152,021.60, 209,788.40 and 84,042.80

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Solution

The fourth proportional to 152,021.60, 209,788.40 and 84,042.80 is: 115,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,021.60 : 209,788.40 = 84,042.80 : x
  2. Step 2: Convert to fraction form
    152,021.60/209,788.40 = 84,042.80/x
  3. Step 3: Cross multiply
    152,021.60x = 209,788.40 × 84,042.80
  4. Step 4: Simplify right side
    152,021.60x = 17,631,204,543.52
  5. Step 5: Solve for x
    x = 17,631,204,543.52/152,021.60
  6. Step 6: Final answer
    x = 115,978.29

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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.