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Finding the Fourth Proportional to 105,585.75, 145,708.34 and 57,839.30

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Solution

The fourth proportional to 105,585.75, 145,708.34 and 57,839.30 is: 79,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,585.75 : 145,708.34 = 57,839.30 : x
  2. Step 2: Convert to fraction form
    105,585.75/145,708.34 = 57,839.30/x
  3. Step 3: Cross multiply
    105,585.75x = 145,708.34 × 57,839.30
  4. Step 4: Simplify right side
    105,585.75x = 8,427,667,372.02
  5. Step 5: Solve for x
    x = 8,427,667,372.02/105,585.75
  6. Step 6: Final answer
    x = 79,818.23

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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.