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Finding the Fourth Proportional to 243,749.12, 365,600.64 and 77,507.84

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Solution

The fourth proportional to 243,749.12, 365,600.64 and 77,507.84 is: 116,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,749.12 : 365,600.64 = 77,507.84 : x
  2. Step 2: Convert to fraction form
    243,749.12/365,600.64 = 77,507.84/x
  3. Step 3: Cross multiply
    243,749.12x = 365,600.64 × 77,507.84
  4. Step 4: Simplify right side
    243,749.12x = 28,336,915,909.02
  5. Step 5: Solve for x
    x = 28,336,915,909.02/243,749.12
  6. Step 6: Final answer
    x = 116,254.43

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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.