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Finding the Fourth Proportional to 52,880.34, 79,390.90 and 30,709.63

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Solution

The fourth proportional to 52,880.34, 79,390.90 and 30,709.63 is: 46,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,880.34 : 79,390.90 = 30,709.63 : x
  2. Step 2: Convert to fraction form
    52,880.34/79,390.90 = 30,709.63/x
  3. Step 3: Cross multiply
    52,880.34x = 79,390.90 × 30,709.63
  4. Step 4: Simplify right side
    52,880.34x = 2,438,064,767.41
  5. Step 5: Solve for x
    x = 2,438,064,767.41/52,880.34
  6. Step 6: Final answer
    x = 46,105.32

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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.