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Finding the Fourth Proportional to 243,630.76, 365,509.20 and 75,147.40

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Solution

The fourth proportional to 243,630.76, 365,509.20 and 75,147.40 is: 112,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,630.76 : 365,509.20 = 75,147.40 : x
  2. Step 2: Convert to fraction form
    243,630.76/365,509.20 = 75,147.40/x
  3. Step 3: Cross multiply
    243,630.76x = 365,509.20 × 75,147.40
  4. Step 4: Simplify right side
    243,630.76x = 27,467,066,056.08
  5. Step 5: Solve for x
    x = 27,467,066,056.08/243,630.76
  6. Step 6: Final answer
    x = 112,740.55

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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.