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Finding the Fourth Proportional to 125,642.48, 188,389.88 and 50,765

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Solution

The fourth proportional to 125,642.48, 188,389.88 and 50,765 is: 76,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,642.48 : 188,389.88 = 50,765 : x
  2. Step 2: Convert to fraction form
    125,642.48/188,389.88 = 50,765/x
  3. Step 3: Cross multiply
    125,642.48x = 188,389.88 × 50,765
  4. Step 4: Simplify right side
    125,642.48x = 9,563,612,258.20
  5. Step 5: Solve for x
    x = 9,563,612,258.20/125,642.48
  6. Step 6: Final answer
    x = 76,117.67

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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.