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Finding the Fourth Proportional to 243,822.80, 365,613.24 and 77,589.20

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Solution

The fourth proportional to 243,822.80, 365,613.24 and 77,589.20 is: 116,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,822.80 : 365,613.24 = 77,589.20 : x
  2. Step 2: Convert to fraction form
    243,822.80/365,613.24 = 77,589.20/x
  3. Step 3: Cross multiply
    243,822.80x = 365,613.24 × 77,589.20
  4. Step 4: Simplify right side
    243,822.80x = 28,367,638,801.01
  5. Step 5: Solve for x
    x = 28,367,638,801.01/243,822.80
  6. Step 6: Final answer
    x = 116,345.31

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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.