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Finding the Fourth Proportional to 71,488, 98,638.80 and 39,650.08

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Solution

The fourth proportional to 71,488, 98,638.80 and 39,650.08 is: 54,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488 : 98,638.80 = 39,650.08 : x
  2. Step 2: Convert to fraction form
    71,488/98,638.80 = 39,650.08/x
  3. Step 3: Cross multiply
    71,488x = 98,638.80 × 39,650.08
  4. Step 4: Simplify right side
    71,488x = 3,911,036,311.10
  5. Step 5: Solve for x
    x = 3,911,036,311.10/71,488
  6. Step 6: Final answer
    x = 54,708.99

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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.