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Finding the Fourth Proportional to 53,476.96, 80,242.80 and 21,910

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Solution

The fourth proportional to 53,476.96, 80,242.80 and 21,910 is: 32,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476.96 : 80,242.80 = 21,910 : x
  2. Step 2: Convert to fraction form
    53,476.96/80,242.80 = 21,910/x
  3. Step 3: Cross multiply
    53,476.96x = 80,242.80 × 21,910
  4. Step 4: Simplify right side
    53,476.96x = 1,758,119,748
  5. Step 5: Solve for x
    x = 1,758,119,748/53,476.96
  6. Step 6: Final answer
    x = 32,876.21

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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.