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Finding the Fourth Proportional to 243,921.30, 365,990.58 and 155,151.78

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Solution

The fourth proportional to 243,921.30, 365,990.58 and 155,151.78 is: 232,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,921.30 : 365,990.58 = 155,151.78 : x
  2. Step 2: Convert to fraction form
    243,921.30/365,990.58 = 155,151.78/x
  3. Step 3: Cross multiply
    243,921.30x = 365,990.58 × 155,151.78
  4. Step 4: Simplify right side
    243,921.30x = 56,784,089,950.23
  5. Step 5: Solve for x
    x = 56,784,089,950.23/243,921.30
  6. Step 6: Final answer
    x = 232,796.77

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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.