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Finding the Fourth Proportional to 133,532.80, 200,400 and 91,312

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Solution

The fourth proportional to 133,532.80, 200,400 and 91,312 is: 137,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,532.80 : 200,400 = 91,312 : x
  2. Step 2: Convert to fraction form
    133,532.80/200,400 = 91,312/x
  3. Step 3: Cross multiply
    133,532.80x = 200,400 × 91,312
  4. Step 4: Simplify right side
    133,532.80x = 18,298,924,800
  5. Step 5: Solve for x
    x = 18,298,924,800/133,532.80
  6. Step 6: Final answer
    x = 137,036.93

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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.