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Finding the Fourth Proportional to 508,741, 763,126.08 and 134,764

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Solution

The fourth proportional to 508,741, 763,126.08 and 134,764 is: 202,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,741 : 763,126.08 = 134,764 : x
  2. Step 2: Convert to fraction form
    508,741/763,126.08 = 134,764/x
  3. Step 3: Cross multiply
    508,741x = 763,126.08 × 134,764
  4. Step 4: Simplify right side
    508,741x = 102,841,923,045.12
  5. Step 5: Solve for x
    x = 102,841,923,045.12/508,741
  6. Step 6: Final answer
    x = 202,149.86

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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.