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Finding the Fourth Proportional to 71,658, 98,887.32 and 39,829.68

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Solution

The fourth proportional to 71,658, 98,887.32 and 39,829.68 is: 54,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658 : 98,887.32 = 39,829.68 : x
  2. Step 2: Convert to fraction form
    71,658/98,887.32 = 39,829.68/x
  3. Step 3: Cross multiply
    71,658x = 98,887.32 × 39,829.68
  4. Step 4: Simplify right side
    71,658x = 3,938,650,311.66
  5. Step 5: Solve for x
    x = 3,938,650,311.66/71,658
  6. Step 6: Final answer
    x = 54,964.56

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1.5x scale

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.