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Finding the Fourth Proportional to 128,272, 177,012.06 and 71,683.84

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Solution

The fourth proportional to 128,272, 177,012.06 and 71,683.84 is: 98,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,272 : 177,012.06 = 71,683.84 : x
  2. Step 2: Convert to fraction form
    128,272/177,012.06 = 71,683.84/x
  3. Step 3: Cross multiply
    128,272x = 177,012.06 × 71,683.84
  4. Step 4: Simplify right side
    128,272x = 12,688,904,187.11
  5. Step 5: Solve for x
    x = 12,688,904,187.11/128,272
  6. Step 6: Final answer
    x = 98,921.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.