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Finding the Fourth Proportional to 145,944.67, 201,403.56 and 78,876.67

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Solution

The fourth proportional to 145,944.67, 201,403.56 and 78,876.67 is: 108,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,944.67 : 201,403.56 = 78,876.67 : x
  2. Step 2: Convert to fraction form
    145,944.67/201,403.56 = 78,876.67/x
  3. Step 3: Cross multiply
    145,944.67x = 201,403.56 × 78,876.67
  4. Step 4: Simplify right side
    145,944.67x = 15,886,042,138.95
  5. Step 5: Solve for x
    x = 15,886,042,138.95/145,944.67
  6. Step 6: Final answer
    x = 108,849.76

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1.5x scale

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.