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Finding the Fourth Proportional to 254,498.98, 381,663.70 and 102,656.84

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Solution

The fourth proportional to 254,498.98, 381,663.70 and 102,656.84 is: 153,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,498.98 : 381,663.70 = 102,656.84 : x
  2. Step 2: Convert to fraction form
    254,498.98/381,663.70 = 102,656.84/x
  3. Step 3: Cross multiply
    254,498.98x = 381,663.70 × 102,656.84
  4. Step 4: Simplify right side
    254,498.98x = 39,180,390,338.87
  5. Step 5: Solve for x
    x = 39,180,390,338.87/254,498.98
  6. Step 6: Final answer
    x = 153,951.07

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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.