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Finding the Fourth Proportional to 243,869.64, 365,848.14 and 86,189.64

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Solution

The fourth proportional to 243,869.64, 365,848.14 and 86,189.64 is: 129,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,869.64 : 365,848.14 = 86,189.64 : x
  2. Step 2: Convert to fraction form
    243,869.64/365,848.14 = 86,189.64/x
  3. Step 3: Cross multiply
    243,869.64x = 365,848.14 × 86,189.64
  4. Step 4: Simplify right side
    243,869.64x = 31,532,319,481.27
  5. Step 5: Solve for x
    x = 31,532,319,481.27/243,869.64
  6. Step 6: Final answer
    x = 129,299.90

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1.5x scale

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.