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Finding the Fourth Proportional to 102,135.78, 140,947.02 and 57,423.78

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Solution

The fourth proportional to 102,135.78, 140,947.02 and 57,423.78 is: 79,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,135.78 : 140,947.02 = 57,423.78 : x
  2. Step 2: Convert to fraction form
    102,135.78/140,947.02 = 57,423.78/x
  3. Step 3: Cross multiply
    102,135.78x = 140,947.02 × 57,423.78
  4. Step 4: Simplify right side
    102,135.78x = 8,093,710,668.14
  5. Step 5: Solve for x
    x = 8,093,710,668.14/102,135.78
  6. Step 6: Final answer
    x = 79,244.62

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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.