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Finding the Fourth Proportional to 91,323.20, 136,984.80 and 49,332.80

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Solution

The fourth proportional to 91,323.20, 136,984.80 and 49,332.80 is: 73,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,323.20 : 136,984.80 = 49,332.80 : x
  2. Step 2: Convert to fraction form
    91,323.20/136,984.80 = 49,332.80/x
  3. Step 3: Cross multiply
    91,323.20x = 136,984.80 × 49,332.80
  4. Step 4: Simplify right side
    91,323.20x = 6,757,843,741.44
  5. Step 5: Solve for x
    x = 6,757,843,741.44/91,323.20
  6. Step 6: Final answer
    x = 73,999.20

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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.