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Finding the Fourth Proportional to 144,521.70, 216,782.55 and 82,313.70

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Solution

The fourth proportional to 144,521.70, 216,782.55 and 82,313.70 is: 123,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,521.70 : 216,782.55 = 82,313.70 : x
  2. Step 2: Convert to fraction form
    144,521.70/216,782.55 = 82,313.70/x
  3. Step 3: Cross multiply
    144,521.70x = 216,782.55 × 82,313.70
  4. Step 4: Simplify right side
    144,521.70x = 17,844,173,785.94
  5. Step 5: Solve for x
    x = 17,844,173,785.94/144,521.70
  6. Step 6: Final answer
    x = 123,470.55

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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.