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Finding the Fourth Proportional to 56,394.93, 77,823.74 and 31,863.45

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Solution

The fourth proportional to 56,394.93, 77,823.74 and 31,863.45 is: 43,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394.93 : 77,823.74 = 31,863.45 : x
  2. Step 2: Convert to fraction form
    56,394.93/77,823.74 = 31,863.45/x
  3. Step 3: Cross multiply
    56,394.93x = 77,823.74 × 31,863.45
  4. Step 4: Simplify right side
    56,394.93x = 2,479,732,636.12
  5. Step 5: Solve for x
    x = 2,479,732,636.12/56,394.93
  6. Step 6: Final answer
    x = 43,970.85

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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.