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Finding the Fourth Proportional to 161,490, 242,243.64 and 50,690.64

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Solution

The fourth proportional to 161,490, 242,243.64 and 50,690.64 is: 76,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,490 : 242,243.64 = 50,690.64 : x
  2. Step 2: Convert to fraction form
    161,490/242,243.64 = 50,690.64/x
  3. Step 3: Cross multiply
    161,490x = 242,243.64 × 50,690.64
  4. Step 4: Simplify right side
    161,490x = 12,279,485,147.53
  5. Step 5: Solve for x
    x = 12,279,485,147.53/161,490
  6. Step 6: Final answer
    x = 76,038.67

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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.