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Finding the Fourth Proportional to 99,747, 149,620.32 and 58,164.84

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Solution

The fourth proportional to 99,747, 149,620.32 and 58,164.84 is: 87,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,747 : 149,620.32 = 58,164.84 : x
  2. Step 2: Convert to fraction form
    99,747/149,620.32 = 58,164.84/x
  3. Step 3: Cross multiply
    99,747x = 149,620.32 × 58,164.84
  4. Step 4: Simplify right side
    99,747x = 8,702,641,973.55
  5. Step 5: Solve for x
    x = 8,702,641,973.55/99,747
  6. Step 6: Final answer
    x = 87,247.16

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1.5x scale

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.