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Finding the Fourth Proportional to 82,838.63, 124,257.94 and 20,509.13

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Solution

The fourth proportional to 82,838.63, 124,257.94 and 20,509.13 is: 30,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.63 : 124,257.94 = 20,509.13 : x
  2. Step 2: Convert to fraction form
    82,838.63/124,257.94 = 20,509.13/x
  3. Step 3: Cross multiply
    82,838.63x = 124,257.94 × 20,509.13
  4. Step 4: Simplify right side
    82,838.63x = 2,548,421,572.43
  5. Step 5: Solve for x
    x = 2,548,421,572.43/82,838.63
  6. Step 6: Final answer
    x = 30,763.69

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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.