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Finding the Fourth Proportional to 117,047.38, 175,109.14 and 90,189.90

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Solution

The fourth proportional to 117,047.38, 175,109.14 and 90,189.90 is: 134,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,047.38 : 175,109.14 = 90,189.90 : x
  2. Step 2: Convert to fraction form
    117,047.38/175,109.14 = 90,189.90/x
  3. Step 3: Cross multiply
    117,047.38x = 175,109.14 × 90,189.90
  4. Step 4: Simplify right side
    117,047.38x = 15,793,075,825.69
  5. Step 5: Solve for x
    x = 15,793,075,825.69/117,047.38
  6. Step 6: Final answer
    x = 134,928.91

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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.