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Finding the Fourth Proportional to 162,438.21, 243,688.16 and 73,698.93

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Solution

The fourth proportional to 162,438.21, 243,688.16 and 73,698.93 is: 110,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,438.21 : 243,688.16 = 73,698.93 : x
  2. Step 2: Convert to fraction form
    162,438.21/243,688.16 = 73,698.93/x
  3. Step 3: Cross multiply
    162,438.21x = 243,688.16 × 73,698.93
  4. Step 4: Simplify right side
    162,438.21x = 17,959,556,829.92
  5. Step 5: Solve for x
    x = 17,959,556,829.92/162,438.21
  6. Step 6: Final answer
    x = 110,562.39

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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.