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Finding the Fourth Proportional to 118,602, 177,635.64 and 83,220.96

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Solution

The fourth proportional to 118,602, 177,635.64 and 83,220.96 is: 124,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,602 : 177,635.64 = 83,220.96 : x
  2. Step 2: Convert to fraction form
    118,602/177,635.64 = 83,220.96/x
  3. Step 3: Cross multiply
    118,602x = 177,635.64 × 83,220.96
  4. Step 4: Simplify right side
    118,602x = 14,783,008,491.01
  5. Step 5: Solve for x
    x = 14,783,008,491.01/118,602
  6. Step 6: Final answer
    x = 124,643.84

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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.