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Finding the Fourth Proportional to 56,432, 77,878.86 and 31,281.50

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Solution

The fourth proportional to 56,432, 77,878.86 and 31,281.50 is: 43,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,432 : 77,878.86 = 31,281.50 : x
  2. Step 2: Convert to fraction form
    56,432/77,878.86 = 31,281.50/x
  3. Step 3: Cross multiply
    56,432x = 77,878.86 × 31,281.50
  4. Step 4: Simplify right side
    56,432x = 2,436,167,559.09
  5. Step 5: Solve for x
    x = 2,436,167,559.09/56,432
  6. Step 6: Final answer
    x = 43,169.97

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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.