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Finding the Fourth Proportional to 253,078.98, 379,541.78 and 133,071.26

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Solution

The fourth proportional to 253,078.98, 379,541.78 and 133,071.26 is: 199,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,078.98 : 379,541.78 = 133,071.26 : x
  2. Step 2: Convert to fraction form
    253,078.98/379,541.78 = 133,071.26/x
  3. Step 3: Cross multiply
    253,078.98x = 379,541.78 × 133,071.26
  4. Step 4: Simplify right side
    253,078.98x = 50,506,102,887.24
  5. Step 5: Solve for x
    x = 50,506,102,887.24/253,078.98
  6. Step 6: Final answer
    x = 199,566.57

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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.