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Finding the Fourth Proportional to 58,144, 87,218.14 and 20,706.82

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Solution

The fourth proportional to 58,144, 87,218.14 and 20,706.82 is: 31,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,144 : 87,218.14 = 20,706.82 : x
  2. Step 2: Convert to fraction form
    58,144/87,218.14 = 20,706.82/x
  3. Step 3: Cross multiply
    58,144x = 87,218.14 × 20,706.82
  4. Step 4: Simplify right side
    58,144x = 1,806,010,325.71
  5. Step 5: Solve for x
    x = 1,806,010,325.71/58,144
  6. Step 6: Final answer
    x = 31,060.99

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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.