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Finding the Fourth Proportional to 53,875.20, 80,774.40 and 20,582.40

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Solution

The fourth proportional to 53,875.20, 80,774.40 and 20,582.40 is: 30,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,875.20 : 80,774.40 = 20,582.40 : x
  2. Step 2: Convert to fraction form
    53,875.20/80,774.40 = 20,582.40/x
  3. Step 3: Cross multiply
    53,875.20x = 80,774.40 × 20,582.40
  4. Step 4: Simplify right side
    53,875.20x = 1,662,531,010.56
  5. Step 5: Solve for x
    x = 1,662,531,010.56/53,875.20
  6. Step 6: Final answer
    x = 30,858.93

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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.