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Finding the Fourth Proportional to 162,016.64, 243,024.96 and 51,200

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Solution

The fourth proportional to 162,016.64, 243,024.96 and 51,200 is: 76,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,016.64 : 243,024.96 = 51,200 : x
  2. Step 2: Convert to fraction form
    162,016.64/243,024.96 = 51,200/x
  3. Step 3: Cross multiply
    162,016.64x = 243,024.96 × 51,200
  4. Step 4: Simplify right side
    162,016.64x = 12,442,877,952
  5. Step 5: Solve for x
    x = 12,442,877,952/162,016.64
  6. Step 6: Final answer
    x = 76,800

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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.