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Finding the Fourth Proportional to 74,882.16, 112,322.92 and 19,478

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Solution

The fourth proportional to 74,882.16, 112,322.92 and 19,478 is: 29,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,882.16 : 112,322.92 = 19,478 : x
  2. Step 2: Convert to fraction form
    74,882.16/112,322.92 = 19,478/x
  3. Step 3: Cross multiply
    74,882.16x = 112,322.92 × 19,478
  4. Step 4: Simplify right side
    74,882.16x = 2,187,825,835.76
  5. Step 5: Solve for x
    x = 2,187,825,835.76/74,882.16
  6. Step 6: Final answer
    x = 29,216.92

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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.