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Finding the Fourth Proportional to 82,130.66, 123,426.84 and 48,856.76

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Solution

The fourth proportional to 82,130.66, 123,426.84 and 48,856.76 is: 73,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130.66 : 123,426.84 = 48,856.76 : x
  2. Step 2: Convert to fraction form
    82,130.66/123,426.84 = 48,856.76/x
  3. Step 3: Cross multiply
    82,130.66x = 123,426.84 × 48,856.76
  4. Step 4: Simplify right side
    82,130.66x = 6,030,235,499.44
  5. Step 5: Solve for x
    x = 6,030,235,499.44/82,130.66
  6. Step 6: Final answer
    x = 73,422.46

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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.