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Finding the Fourth Proportional to 71,596.40, 98,803.14 and 39,764.48

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Solution

The fourth proportional to 71,596.40, 98,803.14 and 39,764.48 is: 54,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,596.40 : 98,803.14 = 39,764.48 : x
  2. Step 2: Convert to fraction form
    71,596.40/98,803.14 = 39,764.48/x
  3. Step 3: Cross multiply
    71,596.40x = 98,803.14 × 39,764.48
  4. Step 4: Simplify right side
    71,596.40x = 3,928,855,484.47
  5. Step 5: Solve for x
    x = 3,928,855,484.47/71,596.40
  6. Step 6: Final answer
    x = 54,875.04

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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.