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Finding the Fourth Proportional to 128,134.92, 176,814.42 and 82,814.28

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Solution

The fourth proportional to 128,134.92, 176,814.42 and 82,814.28 is: 114,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,134.92 : 176,814.42 = 82,814.28 : x
  2. Step 2: Convert to fraction form
    128,134.92/176,814.42 = 82,814.28/x
  3. Step 3: Cross multiply
    128,134.92x = 176,814.42 × 82,814.28
  4. Step 4: Simplify right side
    128,134.92x = 14,642,758,885.92
  5. Step 5: Solve for x
    x = 14,642,758,885.92/128,134.92
  6. Step 6: Final answer
    x = 114,276.10

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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.