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Finding the Fourth Proportional to 203,823.69, 305,423.82 and 85,430.49

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Solution

The fourth proportional to 203,823.69, 305,423.82 and 85,430.49 is: 128,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,823.69 : 305,423.82 = 85,430.49 : x
  2. Step 2: Convert to fraction form
    203,823.69/305,423.82 = 85,430.49/x
  3. Step 3: Cross multiply
    203,823.69x = 305,423.82 × 85,430.49
  4. Step 4: Simplify right side
    203,823.69x = 26,092,506,600.27
  5. Step 5: Solve for x
    x = 26,092,506,600.27/203,823.69
  6. Step 6: Final answer
    x = 128,015.08

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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.