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Finding the Fourth Proportional to 162,007.70, 243,011.55 and 83,129.90

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Solution

The fourth proportional to 162,007.70, 243,011.55 and 83,129.90 is: 124,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,007.70 : 243,011.55 = 83,129.90 : x
  2. Step 2: Convert to fraction form
    162,007.70/243,011.55 = 83,129.90/x
  3. Step 3: Cross multiply
    162,007.70x = 243,011.55 × 83,129.90
  4. Step 4: Simplify right side
    162,007.70x = 20,201,525,850.35
  5. Step 5: Solve for x
    x = 20,201,525,850.35/162,007.70
  6. Step 6: Final answer
    x = 124,694.85

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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.