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Finding the Fourth Proportional to 56,145.28, 77,454 and 33,471.28

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Solution

The fourth proportional to 56,145.28, 77,454 and 33,471.28 is: 46,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145.28 : 77,454 = 33,471.28 : x
  2. Step 2: Convert to fraction form
    56,145.28/77,454 = 33,471.28/x
  3. Step 3: Cross multiply
    56,145.28x = 77,454 × 33,471.28
  4. Step 4: Simplify right side
    56,145.28x = 2,592,484,521.12
  5. Step 5: Solve for x
    x = 2,592,484,521.12/56,145.28
  6. Step 6: Final answer
    x = 46,174.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.