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Finding the Fourth Proportional to 75,417.30, 113,122.31 and 28,032.30

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Solution

The fourth proportional to 75,417.30, 113,122.31 and 28,032.30 is: 42,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,417.30 : 113,122.31 = 28,032.30 : x
  2. Step 2: Convert to fraction form
    75,417.30/113,122.31 = 28,032.30/x
  3. Step 3: Cross multiply
    75,417.30x = 113,122.31 × 28,032.30
  4. Step 4: Simplify right side
    75,417.30x = 3,171,078,390.45
  5. Step 5: Solve for x
    x = 3,171,078,390.45/75,417.30
  6. Step 6: Final answer
    x = 42,047.10

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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.