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Finding the Fourth Proportional to 257,047.06, 385,508.48 and 99,174.82

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Solution

The fourth proportional to 257,047.06, 385,508.48 and 99,174.82 is: 148,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,047.06 : 385,508.48 = 99,174.82 : x
  2. Step 2: Convert to fraction form
    257,047.06/385,508.48 = 99,174.82/x
  3. Step 3: Cross multiply
    257,047.06x = 385,508.48 × 99,174.82
  4. Step 4: Simplify right side
    257,047.06x = 38,232,734,112.47
  5. Step 5: Solve for x
    x = 38,232,734,112.47/257,047.06
  6. Step 6: Final answer
    x = 148,738.27

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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.