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Finding the Fourth Proportional to 75,577.30, 113,365.95 and 19,417.30

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Solution

The fourth proportional to 75,577.30, 113,365.95 and 19,417.30 is: 29,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,577.30 : 113,365.95 = 19,417.30 : x
  2. Step 2: Convert to fraction form
    75,577.30/113,365.95 = 19,417.30/x
  3. Step 3: Cross multiply
    75,577.30x = 113,365.95 × 19,417.30
  4. Step 4: Simplify right side
    75,577.30x = 2,201,260,660.94
  5. Step 5: Solve for x
    x = 2,201,260,660.94/75,577.30
  6. Step 6: Final answer
    x = 29,125.95

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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.