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Finding the Fourth Proportional to 53,569.60, 80,277.60 and 39,419.20

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Solution

The fourth proportional to 53,569.60, 80,277.60 and 39,419.20 is: 59,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,569.60 : 80,277.60 = 39,419.20 : x
  2. Step 2: Convert to fraction form
    53,569.60/80,277.60 = 39,419.20/x
  3. Step 3: Cross multiply
    53,569.60x = 80,277.60 × 39,419.20
  4. Step 4: Simplify right side
    53,569.60x = 3,164,478,769.92
  5. Step 5: Solve for x
    x = 3,164,478,769.92/53,569.60
  6. Step 6: Final answer
    x = 59,072.29

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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.