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Finding the Fourth Proportional to 45,937, 63,394.86 and 31,431.61

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Solution

The fourth proportional to 45,937, 63,394.86 and 31,431.61 is: 43,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,937 : 63,394.86 = 31,431.61 : x
  2. Step 2: Convert to fraction form
    45,937/63,394.86 = 31,431.61/x
  3. Step 3: Cross multiply
    45,937x = 63,394.86 × 31,431.61
  4. Step 4: Simplify right side
    45,937x = 1,992,602,515.52
  5. Step 5: Solve for x
    x = 1,992,602,515.52/45,937
  6. Step 6: Final answer
    x = 43,376.85

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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.