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Finding the Fourth Proportional to 243,642.72, 365,573.16 and 154,873.20

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Solution

The fourth proportional to 243,642.72, 365,573.16 and 154,873.20 is: 232,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,642.72 : 365,573.16 = 154,873.20 : x
  2. Step 2: Convert to fraction form
    243,642.72/365,573.16 = 154,873.20/x
  3. Step 3: Cross multiply
    243,642.72x = 365,573.16 × 154,873.20
  4. Step 4: Simplify right side
    243,642.72x = 56,617,485,123.31
  5. Step 5: Solve for x
    x = 56,617,485,123.31/243,642.72
  6. Step 6: Final answer
    x = 232,379.14

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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.