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Finding the Fourth Proportional to 91,486.30, 137,315.85 and 56,494.30

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Solution

The fourth proportional to 91,486.30, 137,315.85 and 56,494.30 is: 84,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,486.30 : 137,315.85 = 56,494.30 : x
  2. Step 2: Convert to fraction form
    91,486.30/137,315.85 = 56,494.30/x
  3. Step 3: Cross multiply
    91,486.30x = 137,315.85 × 56,494.30
  4. Step 4: Simplify right side
    91,486.30x = 7,757,562,824.66
  5. Step 5: Solve for x
    x = 7,757,562,824.66/91,486.30
  6. Step 6: Final answer
    x = 84,794.80

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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.