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Finding the Fourth Proportional to 76,492.64, 114,740.02 and 20,332.49

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Solution

The fourth proportional to 76,492.64, 114,740.02 and 20,332.49 is: 30,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.64 : 114,740.02 = 20,332.49 : x
  2. Step 2: Convert to fraction form
    76,492.64/114,740.02 = 20,332.49/x
  3. Step 3: Cross multiply
    76,492.64x = 114,740.02 × 20,332.49
  4. Step 4: Simplify right side
    76,492.64x = 2,332,949,760.97
  5. Step 5: Solve for x
    x = 2,332,949,760.97/76,492.64
  6. Step 6: Final answer
    x = 30,499.01

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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.