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Finding the Fourth Proportional to 162,000.36, 243,036.05 and 49,689

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Solution

The fourth proportional to 162,000.36, 243,036.05 and 49,689 is: 74,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,000.36 : 243,036.05 = 49,689 : x
  2. Step 2: Convert to fraction form
    162,000.36/243,036.05 = 49,689/x
  3. Step 3: Cross multiply
    162,000.36x = 243,036.05 × 49,689
  4. Step 4: Simplify right side
    162,000.36x = 12,076,218,040.01
  5. Step 5: Solve for x
    x = 12,076,218,040.01/162,000.36
  6. Step 6: Final answer
    x = 74,544.39

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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.