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Finding the Fourth Proportional to 91,731.40, 137,726.70 and 56,739.40

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Solution

The fourth proportional to 91,731.40, 137,726.70 and 56,739.40 is: 85,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,731.40 : 137,726.70 = 56,739.40 : x
  2. Step 2: Convert to fraction form
    91,731.40/137,726.70 = 56,739.40/x
  3. Step 3: Cross multiply
    91,731.40x = 137,726.70 × 56,739.40
  4. Step 4: Simplify right side
    91,731.40x = 7,814,530,321.98
  5. Step 5: Solve for x
    x = 7,814,530,321.98/91,731.40
  6. Step 6: Final answer
    x = 85,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.