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Finding the Fourth Proportional to 71,462.85, 98,624.79 and 39,642

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Solution

The fourth proportional to 71,462.85, 98,624.79 and 39,642 is: 54,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462.85 : 98,624.79 = 39,642 : x
  2. Step 2: Convert to fraction form
    71,462.85/98,624.79 = 39,642/x
  3. Step 3: Cross multiply
    71,462.85x = 98,624.79 × 39,642
  4. Step 4: Simplify right side
    71,462.85x = 3,909,683,925.18
  5. Step 5: Solve for x
    x = 3,909,683,925.18/71,462.85
  6. Step 6: Final answer
    x = 54,709.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.