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Finding the Fourth Proportional to 162,236.75, 243,355.14 and 51,428.75

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Solution

The fourth proportional to 162,236.75, 243,355.14 and 51,428.75 is: 77,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,236.75 : 243,355.14 = 51,428.75 : x
  2. Step 2: Convert to fraction form
    162,236.75/243,355.14 = 51,428.75/x
  3. Step 3: Cross multiply
    162,236.75x = 243,355.14 × 51,428.75
  4. Step 4: Simplify right side
    162,236.75x = 12,515,450,656.28
  5. Step 5: Solve for x
    x = 12,515,450,656.28/162,236.75
  6. Step 6: Final answer
    x = 77,143.13

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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.