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Finding the Fourth Proportional to 56,641.86, 78,205.77 and 40,731.30

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Solution

The fourth proportional to 56,641.86, 78,205.77 and 40,731.30 is: 56,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,641.86 : 78,205.77 = 40,731.30 : x
  2. Step 2: Convert to fraction form
    56,641.86/78,205.77 = 40,731.30/x
  3. Step 3: Cross multiply
    56,641.86x = 78,205.77 × 40,731.30
  4. Step 4: Simplify right side
    56,641.86x = 3,185,422,679.60
  5. Step 5: Solve for x
    x = 3,185,422,679.60/56,641.86
  6. Step 6: Final answer
    x = 56,237.96

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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.