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Finding the Fourth Proportional to 162,121, 243,182.58 and 51,313

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Solution

The fourth proportional to 162,121, 243,182.58 and 51,313 is: 76,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,121 : 243,182.58 = 51,313 : x
  2. Step 2: Convert to fraction form
    162,121/243,182.58 = 51,313/x
  3. Step 3: Cross multiply
    162,121x = 243,182.58 × 51,313
  4. Step 4: Simplify right side
    162,121x = 12,478,427,727.54
  5. Step 5: Solve for x
    x = 12,478,427,727.54/162,121
  6. Step 6: Final answer
    x = 76,969.84

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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.