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Finding the Fourth Proportional to 117,709.80, 176,564.70 and 75,719.40

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Solution

The fourth proportional to 117,709.80, 176,564.70 and 75,719.40 is: 113,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,709.80 : 176,564.70 = 75,719.40 : x
  2. Step 2: Convert to fraction form
    117,709.80/176,564.70 = 75,719.40/x
  3. Step 3: Cross multiply
    117,709.80x = 176,564.70 × 75,719.40
  4. Step 4: Simplify right side
    117,709.80x = 13,369,373,145.18
  5. Step 5: Solve for x
    x = 13,369,373,145.18/117,709.80
  6. Step 6: Final answer
    x = 113,579.10

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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.