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Finding the Fourth Proportional to 75,435.40, 113,078.70 and 42,171.40

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Solution

The fourth proportional to 75,435.40, 113,078.70 and 42,171.40 is: 63,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435.40 : 113,078.70 = 42,171.40 : x
  2. Step 2: Convert to fraction form
    75,435.40/113,078.70 = 42,171.40/x
  3. Step 3: Cross multiply
    75,435.40x = 113,078.70 × 42,171.40
  4. Step 4: Simplify right side
    75,435.40x = 4,768,687,089.18
  5. Step 5: Solve for x
    x = 4,768,687,089.18/75,435.40
  6. Step 6: Final answer
    x = 63,215.51

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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.