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Finding the Fourth Proportional to 162,122, 243,184.08 and 51,314

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Solution

The fourth proportional to 162,122, 243,184.08 and 51,314 is: 76,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,122 : 243,184.08 = 51,314 : x
  2. Step 2: Convert to fraction form
    162,122/243,184.08 = 51,314/x
  3. Step 3: Cross multiply
    162,122x = 243,184.08 × 51,314
  4. Step 4: Simplify right side
    162,122x = 12,478,747,881.12
  5. Step 5: Solve for x
    x = 12,478,747,881.12/162,122
  6. Step 6: Final answer
    x = 76,971.34

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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.