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Finding the Fourth Proportional to 55,363.50, 76,405.74 and 31,497.86

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Solution

The fourth proportional to 55,363.50, 76,405.74 and 31,497.86 is: 43,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,363.50 : 76,405.74 = 31,497.86 : x
  2. Step 2: Convert to fraction form
    55,363.50/76,405.74 = 31,497.86/x
  3. Step 3: Cross multiply
    55,363.50x = 76,405.74 × 31,497.86
  4. Step 4: Simplify right side
    55,363.50x = 2,406,617,374.61
  5. Step 5: Solve for x
    x = 2,406,617,374.61/55,363.50
  6. Step 6: Final answer
    x = 43,469.39

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1.5x scale

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.