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Finding the Fourth Proportional to 99,542, 149,315.88 and 25,670

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Solution

The fourth proportional to 99,542, 149,315.88 and 25,670 is: 38,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542 : 149,315.88 = 25,670 : x
  2. Step 2: Convert to fraction form
    99,542/149,315.88 = 25,670/x
  3. Step 3: Cross multiply
    99,542x = 149,315.88 × 25,670
  4. Step 4: Simplify right side
    99,542x = 3,832,938,639.60
  5. Step 5: Solve for x
    x = 3,832,938,639.60/99,542
  6. Step 6: Final answer
    x = 38,505.74

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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.