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Finding the Fourth Proportional to 133,732.58, 200,777.04 and 77,612.98

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Solution

The fourth proportional to 133,732.58, 200,777.04 and 77,612.98 is: 116,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,732.58 : 200,777.04 = 77,612.98 : x
  2. Step 2: Convert to fraction form
    133,732.58/200,777.04 = 77,612.98/x
  3. Step 3: Cross multiply
    133,732.58x = 200,777.04 × 77,612.98
  4. Step 4: Simplify right side
    133,732.58x = 15,582,904,389.98
  5. Step 5: Solve for x
    x = 15,582,904,389.98/133,732.58
  6. Step 6: Final answer
    x = 116,522.87

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1.5x scale

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.