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Finding the Fourth Proportional to 176,205.72, 242,895.42 and 138,414.36

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Solution

The fourth proportional to 176,205.72, 242,895.42 and 138,414.36 is: 190,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,205.72 : 242,895.42 = 138,414.36 : x
  2. Step 2: Convert to fraction form
    176,205.72/242,895.42 = 138,414.36/x
  3. Step 3: Cross multiply
    176,205.72x = 242,895.42 × 138,414.36
  4. Step 4: Simplify right side
    176,205.72x = 33,620,214,106.23
  5. Step 5: Solve for x
    x = 33,620,214,106.23/176,205.72
  6. Step 6: Final answer
    x = 190,800.92

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