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Finding the Fourth Proportional to 54,722.64, 75,510.81 and 30,847.89

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Solution

The fourth proportional to 54,722.64, 75,510.81 and 30,847.89 is: 42,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,722.64 : 75,510.81 = 30,847.89 : x
  2. Step 2: Convert to fraction form
    54,722.64/75,510.81 = 30,847.89/x
  3. Step 3: Cross multiply
    54,722.64x = 75,510.81 × 30,847.89
  4. Step 4: Simplify right side
    54,722.64x = 2,329,349,160.69
  5. Step 5: Solve for x
    x = 2,329,349,160.69/54,722.64
  6. Step 6: Final answer
    x = 42,566.46

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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.