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Finding the Fourth Proportional to 137,141.76, 205,721.76 and 52,942.08

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Solution

The fourth proportional to 137,141.76, 205,721.76 and 52,942.08 is: 79,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.76 : 205,721.76 = 52,942.08 : x
  2. Step 2: Convert to fraction form
    137,141.76/205,721.76 = 52,942.08/x
  3. Step 3: Cross multiply
    137,141.76x = 205,721.76 × 52,942.08
  4. Step 4: Simplify right side
    137,141.76x = 10,891,337,875.66
  5. Step 5: Solve for x
    x = 10,891,337,875.66/137,141.76
  6. Step 6: Final answer
    x = 79,416.64

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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.