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Finding the Fourth Proportional to 162,002.90, 243,004.35 and 155,441.90

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Solution

The fourth proportional to 162,002.90, 243,004.35 and 155,441.90 is: 233,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.90 : 243,004.35 = 155,441.90 : x
  2. Step 2: Convert to fraction form
    162,002.90/243,004.35 = 155,441.90/x
  3. Step 3: Cross multiply
    162,002.90x = 243,004.35 × 155,441.90
  4. Step 4: Simplify right side
    162,002.90x = 37,773,057,872.27
  5. Step 5: Solve for x
    x = 37,773,057,872.27/162,002.90
  6. Step 6: Final answer
    x = 233,162.85

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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.