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Finding the Fourth Proportional to 71,578.02, 98,780.69 and 39,746.88

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Solution

The fourth proportional to 71,578.02, 98,780.69 and 39,746.88 is: 54,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.02 : 98,780.69 = 39,746.88 : x
  2. Step 2: Convert to fraction form
    71,578.02/98,780.69 = 39,746.88/x
  3. Step 3: Cross multiply
    71,578.02x = 98,780.69 × 39,746.88
  4. Step 4: Simplify right side
    71,578.02x = 3,926,224,231.75
  5. Step 5: Solve for x
    x = 3,926,224,231.75/71,578.02
  6. Step 6: Final answer
    x = 54,852.37

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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.