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Finding the Fourth Proportional to 75,410.71, 113,130.65 and 28,659.94

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Solution

The fourth proportional to 75,410.71, 113,130.65 and 28,659.94 is: 42,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,410.71 : 113,130.65 = 28,659.94 : x
  2. Step 2: Convert to fraction form
    75,410.71/113,130.65 = 28,659.94/x
  3. Step 3: Cross multiply
    75,410.71x = 113,130.65 × 28,659.94
  4. Step 4: Simplify right side
    75,410.71x = 3,242,317,215.03
  5. Step 5: Solve for x
    x = 3,242,317,215.03/75,410.71
  6. Step 6: Final answer
    x = 42,995.45

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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.