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Finding the Fourth Proportional to 162,189.64, 243,307.76 and 49,879.32

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Solution

The fourth proportional to 162,189.64, 243,307.76 and 49,879.32 is: 74,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,189.64 : 243,307.76 = 49,879.32 : x
  2. Step 2: Convert to fraction form
    162,189.64/243,307.76 = 49,879.32/x
  3. Step 3: Cross multiply
    162,189.64x = 243,307.76 × 49,879.32
  4. Step 4: Simplify right side
    162,189.64x = 12,136,025,619.52
  5. Step 5: Solve for x
    x = 12,136,025,619.52/162,189.64
  6. Step 6: Final answer
    x = 74,826.15

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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.