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Finding the Fourth Proportional to 243,924, 365,884.92 and 86,114.40

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Solution

The fourth proportional to 243,924, 365,884.92 and 86,114.40 is: 129,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,924 : 365,884.92 = 86,114.40 : x
  2. Step 2: Convert to fraction form
    243,924/365,884.92 = 86,114.40/x
  3. Step 3: Cross multiply
    243,924x = 365,884.92 × 86,114.40
  4. Step 4: Simplify right side
    243,924x = 31,507,960,354.85
  5. Step 5: Solve for x
    x = 31,507,960,354.85/243,924
  6. Step 6: Final answer
    x = 129,171.22

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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.