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Finding the Fourth Proportional to 162,378.81, 243,505.89 and 55,742.90

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Solution

The fourth proportional to 162,378.81, 243,505.89 and 55,742.90 is: 83,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,378.81 : 243,505.89 = 55,742.90 : x
  2. Step 2: Convert to fraction form
    162,378.81/243,505.89 = 55,742.90/x
  3. Step 3: Cross multiply
    162,378.81x = 243,505.89 × 55,742.90
  4. Step 4: Simplify right side
    162,378.81x = 13,573,723,258.15
  5. Step 5: Solve for x
    x = 13,573,723,258.15/162,378.81
  6. Step 6: Final answer
    x = 83,592.95

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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.