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Finding the Fourth Proportional to 57,101.75, 78,823.08 and 38,709.08

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Solution

The fourth proportional to 57,101.75, 78,823.08 and 38,709.08 is: 53,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101.75 : 78,823.08 = 38,709.08 : x
  2. Step 2: Convert to fraction form
    57,101.75/78,823.08 = 38,709.08/x
  3. Step 3: Cross multiply
    57,101.75x = 78,823.08 × 38,709.08
  4. Step 4: Simplify right side
    57,101.75x = 3,051,168,515.45
  5. Step 5: Solve for x
    x = 3,051,168,515.45/57,101.75
  6. Step 6: Final answer
    x = 53,433.89

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1.5x scale

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.