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Finding the Fourth Proportional to 51,646.68, 71,255.16 and 28,981.80

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Solution

The fourth proportional to 51,646.68, 71,255.16 and 28,981.80 is: 39,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.68 : 71,255.16 = 28,981.80 : x
  2. Step 2: Convert to fraction form
    51,646.68/71,255.16 = 28,981.80/x
  3. Step 3: Cross multiply
    51,646.68x = 71,255.16 × 28,981.80
  4. Step 4: Simplify right side
    51,646.68x = 2,065,102,796.09
  5. Step 5: Solve for x
    x = 2,065,102,796.09/51,646.68
  6. Step 6: Final answer
    x = 39,985.20

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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.