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Finding the Fourth Proportional to 137,581.62, 206,337.78 and 53,312.82

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Solution

The fourth proportional to 137,581.62, 206,337.78 and 53,312.82 is: 79,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,581.62 : 206,337.78 = 53,312.82 : x
  2. Step 2: Convert to fraction form
    137,581.62/206,337.78 = 53,312.82/x
  3. Step 3: Cross multiply
    137,581.62x = 206,337.78 × 53,312.82
  4. Step 4: Simplify right side
    137,581.62x = 11,000,448,924.34
  5. Step 5: Solve for x
    x = 11,000,448,924.34/137,581.62
  6. Step 6: Final answer
    x = 79,955.80

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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.