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Finding the Fourth Proportional to 253,535.81, 380,354.81 and 93,612.78

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Solution

The fourth proportional to 253,535.81, 380,354.81 and 93,612.78 is: 140,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,535.81 : 380,354.81 = 93,612.78 : x
  2. Step 2: Convert to fraction form
    253,535.81/380,354.81 = 93,612.78/x
  3. Step 3: Cross multiply
    253,535.81x = 380,354.81 × 93,612.78
  4. Step 4: Simplify right side
    253,535.81x = 35,606,070,682.41
  5. Step 5: Solve for x
    x = 35,606,070,682.41/253,535.81
  6. Step 6: Final answer
    x = 140,438.04

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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.