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Finding the Fourth Proportional to 76,153.68, 114,230.70 and 20,749.68

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Solution

The fourth proportional to 76,153.68, 114,230.70 and 20,749.68 is: 31,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153.68 : 114,230.70 = 20,749.68 : x
  2. Step 2: Convert to fraction form
    76,153.68/114,230.70 = 20,749.68/x
  3. Step 3: Cross multiply
    76,153.68x = 114,230.70 × 20,749.68
  4. Step 4: Simplify right side
    76,153.68x = 2,370,250,471.18
  5. Step 5: Solve for x
    x = 2,370,250,471.18/76,153.68
  6. Step 6: Final answer
    x = 31,124.57

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1.5x scale

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.