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Finding the Fourth Proportional to 71,642.88, 98,866.80 and 39,378.24

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Solution

The fourth proportional to 71,642.88, 98,866.80 and 39,378.24 is: 54,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.88 : 98,866.80 = 39,378.24 : x
  2. Step 2: Convert to fraction form
    71,642.88/98,866.80 = 39,378.24/x
  3. Step 3: Cross multiply
    71,642.88x = 98,866.80 × 39,378.24
  4. Step 4: Simplify right side
    71,642.88x = 3,893,200,578.43
  5. Step 5: Solve for x
    x = 3,893,200,578.43/71,642.88
  6. Step 6: Final answer
    x = 54,341.77

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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.