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Finding the Fourth Proportional to 53,309.68, 73,878.55 and 52,558

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Solution

The fourth proportional to 53,309.68, 73,878.55 and 52,558 is: 72,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,309.68 : 73,878.55 = 52,558 : x
  2. Step 2: Convert to fraction form
    53,309.68/73,878.55 = 52,558/x
  3. Step 3: Cross multiply
    53,309.68x = 73,878.55 × 52,558
  4. Step 4: Simplify right side
    53,309.68x = 3,882,908,830.90
  5. Step 5: Solve for x
    x = 3,882,908,830.90/53,309.68
  6. Step 6: Final answer
    x = 72,836.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.