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Finding the Fourth Proportional to 52,701.68, 78,880.65 and 28,649.80

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Solution

The fourth proportional to 52,701.68, 78,880.65 and 28,649.80 is: 42,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701.68 : 78,880.65 = 28,649.80 : x
  2. Step 2: Convert to fraction form
    52,701.68/78,880.65 = 28,649.80/x
  3. Step 3: Cross multiply
    52,701.68x = 78,880.65 × 28,649.80
  4. Step 4: Simplify right side
    52,701.68x = 2,259,914,846.37
  5. Step 5: Solve for x
    x = 2,259,914,846.37/52,701.68
  6. Step 6: Final answer
    x = 42,881.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.