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Finding the Fourth Proportional to 99,275, 148,912.50 and 25,403

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Solution

The fourth proportional to 99,275, 148,912.50 and 25,403 is: 38,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,275 : 148,912.50 = 25,403 : x
  2. Step 2: Convert to fraction form
    99,275/148,912.50 = 25,403/x
  3. Step 3: Cross multiply
    99,275x = 148,912.50 × 25,403
  4. Step 4: Simplify right side
    99,275x = 3,782,824,237.50
  5. Step 5: Solve for x
    x = 3,782,824,237.50/99,275
  6. Step 6: Final answer
    x = 38,104.50

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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.