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Finding the Fourth Proportional to 76,283.91, 105,275.39 and 47,620.55

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Solution

The fourth proportional to 76,283.91, 105,275.39 and 47,620.55 is: 65,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,283.91 : 105,275.39 = 47,620.55 : x
  2. Step 2: Convert to fraction form
    76,283.91/105,275.39 = 47,620.55/x
  3. Step 3: Cross multiply
    76,283.91x = 105,275.39 × 47,620.55
  4. Step 4: Simplify right side
    76,283.91x = 5,013,271,208.78
  5. Step 5: Solve for x
    x = 5,013,271,208.78/76,283.91
  6. Step 6: Final answer
    x = 65,718.59

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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.