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Finding the Fourth Proportional to 162,080.96, 243,129 and 49,756.64

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Solution

The fourth proportional to 162,080.96, 243,129 and 49,756.64 is: 74,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,080.96 : 243,129 = 49,756.64 : x
  2. Step 2: Convert to fraction form
    162,080.96/243,129 = 49,756.64/x
  3. Step 3: Cross multiply
    162,080.96x = 243,129 × 49,756.64
  4. Step 4: Simplify right side
    162,080.96x = 12,097,282,126.56
  5. Step 5: Solve for x
    x = 12,097,282,126.56/162,080.96
  6. Step 6: Final answer
    x = 74,637.28

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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.