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Finding the Fourth Proportional to 118,578.54, 177,666.93 and 71,733

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Solution

The fourth proportional to 118,578.54, 177,666.93 and 71,733 is: 107,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,578.54 : 177,666.93 = 71,733 : x
  2. Step 2: Convert to fraction form
    118,578.54/177,666.93 = 71,733/x
  3. Step 3: Cross multiply
    118,578.54x = 177,666.93 × 71,733
  4. Step 4: Simplify right side
    118,578.54x = 12,744,581,889.69
  5. Step 5: Solve for x
    x = 12,744,581,889.69/118,578.54
  6. Step 6: Final answer
    x = 107,477.98

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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.