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Finding the Fourth Proportional to 176,676.72, 265,012.38 and 71,421

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Solution

The fourth proportional to 176,676.72, 265,012.38 and 71,421 is: 107,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,676.72 : 265,012.38 = 71,421 : x
  2. Step 2: Convert to fraction form
    176,676.72/265,012.38 = 71,421/x
  3. Step 3: Cross multiply
    176,676.72x = 265,012.38 × 71,421
  4. Step 4: Simplify right side
    176,676.72x = 18,927,449,191.98
  5. Step 5: Solve for x
    x = 18,927,449,191.98/176,676.72
  6. Step 6: Final answer
    x = 107,130.41

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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.