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Finding the Fourth Proportional to 117,072.40, 175,590.78 and 38,186.50

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Solution

The fourth proportional to 117,072.40, 175,590.78 and 38,186.50 is: 57,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072.40 : 175,590.78 = 38,186.50 : x
  2. Step 2: Convert to fraction form
    117,072.40/175,590.78 = 38,186.50/x
  3. Step 3: Cross multiply
    117,072.40x = 175,590.78 × 38,186.50
  4. Step 4: Simplify right side
    117,072.40x = 6,705,197,320.47
  5. Step 5: Solve for x
    x = 6,705,197,320.47/117,072.40
  6. Step 6: Final answer
    x = 57,273.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.