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Finding the Fourth Proportional to 253,806.98, 380,710.94 and 104,020.47

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Solution

The fourth proportional to 253,806.98, 380,710.94 and 104,020.47 is: 156,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,806.98 : 380,710.94 = 104,020.47 : x
  2. Step 2: Convert to fraction form
    253,806.98/380,710.94 = 104,020.47/x
  3. Step 3: Cross multiply
    253,806.98x = 380,710.94 × 104,020.47
  4. Step 4: Simplify right side
    253,806.98x = 39,601,730,392.84
  5. Step 5: Solve for x
    x = 39,601,730,392.84/253,806.98
  6. Step 6: Final answer
    x = 156,030.90

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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.