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Finding the Fourth Proportional to 138,742.16, 208,122.64 and 48,773.92

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Solution

The fourth proportional to 138,742.16, 208,122.64 and 48,773.92 is: 73,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,742.16 : 208,122.64 = 48,773.92 : x
  2. Step 2: Convert to fraction form
    138,742.16/208,122.64 = 48,773.92/x
  3. Step 3: Cross multiply
    138,742.16x = 208,122.64 × 48,773.92
  4. Step 4: Simplify right side
    138,742.16x = 10,150,956,993.55
  5. Step 5: Solve for x
    x = 10,150,956,993.55/138,742.16
  6. Step 6: Final answer
    x = 73,164.18

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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.