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Finding the Fourth Proportional to 65,423.92, 98,135.48 and 39,136

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Solution

The fourth proportional to 65,423.92, 98,135.48 and 39,136 is: 58,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,423.92 : 98,135.48 = 39,136 : x
  2. Step 2: Convert to fraction form
    65,423.92/98,135.48 = 39,136/x
  3. Step 3: Cross multiply
    65,423.92x = 98,135.48 × 39,136
  4. Step 4: Simplify right side
    65,423.92x = 3,840,630,145.28
  5. Step 5: Solve for x
    x = 3,840,630,145.28/65,423.92
  6. Step 6: Final answer
    x = 58,703.76

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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.