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Finding the Fourth Proportional to 50,439, 75,651.72 and 20,852.76

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Solution

The fourth proportional to 50,439, 75,651.72 and 20,852.76 is: 31,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,439 : 75,651.72 = 20,852.76 : x
  2. Step 2: Convert to fraction form
    50,439/75,651.72 = 20,852.76/x
  3. Step 3: Cross multiply
    50,439x = 75,651.72 × 20,852.76
  4. Step 4: Simplify right side
    50,439x = 1,577,547,160.75
  5. Step 5: Solve for x
    x = 1,577,547,160.75/50,439
  6. Step 6: Final answer
    x = 31,276.34

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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.