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Finding the Fourth Proportional to 102,047.30, 140,824.49 and 57,335.30

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Solution

The fourth proportional to 102,047.30, 140,824.49 and 57,335.30 is: 79,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,047.30 : 140,824.49 = 57,335.30 : x
  2. Step 2: Convert to fraction form
    102,047.30/140,824.49 = 57,335.30/x
  3. Step 3: Cross multiply
    102,047.30x = 140,824.49 × 57,335.30
  4. Step 4: Simplify right side
    102,047.30x = 8,074,214,381.50
  5. Step 5: Solve for x
    x = 8,074,214,381.50/102,047.30
  6. Step 6: Final answer
    x = 79,122.27

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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.