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Finding the Fourth Proportional to 312,060.36, 468,139.14 and 101,649.36

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Solution

The fourth proportional to 312,060.36, 468,139.14 and 101,649.36 is: 152,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,060.36 : 468,139.14 = 101,649.36 : x
  2. Step 2: Convert to fraction form
    312,060.36/468,139.14 = 101,649.36/x
  3. Step 3: Cross multiply
    312,060.36x = 468,139.14 × 101,649.36
  4. Step 4: Simplify right side
    312,060.36x = 47,586,043,971.95
  5. Step 5: Solve for x
    x = 47,586,043,971.95/312,060.36
  6. Step 6: Final answer
    x = 152,489.87

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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.