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Finding the Fourth Proportional to 45,666.32, 68,391.72 and 31,574

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Solution

The fourth proportional to 45,666.32, 68,391.72 and 31,574 is: 47,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,666.32 : 68,391.72 = 31,574 : x
  2. Step 2: Convert to fraction form
    45,666.32/68,391.72 = 31,574/x
  3. Step 3: Cross multiply
    45,666.32x = 68,391.72 × 31,574
  4. Step 4: Simplify right side
    45,666.32x = 2,159,400,167.28
  5. Step 5: Solve for x
    x = 2,159,400,167.28/45,666.32
  6. Step 6: Final answer
    x = 47,286.49

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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.