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Finding the Fourth Proportional to 54,931.02, 75,807.81 and 31,059.78

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Solution

The fourth proportional to 54,931.02, 75,807.81 and 31,059.78 is: 42,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,931.02 : 75,807.81 = 31,059.78 : x
  2. Step 2: Convert to fraction form
    54,931.02/75,807.81 = 31,059.78/x
  3. Step 3: Cross multiply
    54,931.02x = 75,807.81 × 31,059.78
  4. Step 4: Simplify right side
    54,931.02x = 2,354,573,900.88
  5. Step 5: Solve for x
    x = 2,354,573,900.88/54,931.02
  6. Step 6: Final answer
    x = 42,864.19

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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.