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Finding the Fourth Proportional to 75,809.10, 113,786.55 and 38,411.40

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Solution

The fourth proportional to 75,809.10, 113,786.55 and 38,411.40 is: 57,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,809.10 : 113,786.55 = 38,411.40 : x
  2. Step 2: Convert to fraction form
    75,809.10/113,786.55 = 38,411.40/x
  3. Step 3: Cross multiply
    75,809.10x = 113,786.55 × 38,411.40
  4. Step 4: Simplify right side
    75,809.10x = 4,370,700,686.67
  5. Step 5: Solve for x
    x = 4,370,700,686.67/75,809.10
  6. Step 6: Final answer
    x = 57,654.04

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1.5x scale

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.