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Finding the Fourth Proportional to 185,760, 256,346.53 and 100,877.67

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Solution

The fourth proportional to 185,760, 256,346.53 and 100,877.67 is: 139,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,760 : 256,346.53 = 100,877.67 : x
  2. Step 2: Convert to fraction form
    185,760/256,346.53 = 100,877.67/x
  3. Step 3: Cross multiply
    185,760x = 256,346.53 × 100,877.67
  4. Step 4: Simplify right side
    185,760x = 25,859,640,658.99
  5. Step 5: Solve for x
    x = 25,859,640,658.99/185,760
  6. Step 6: Final answer
    x = 139,209.95

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Why These Related Problems?

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