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Finding the Fourth Proportional to 146,401, 219,601.50 and 46,561.40

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Solution

The fourth proportional to 146,401, 219,601.50 and 46,561.40 is: 69,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,401 : 219,601.50 = 46,561.40 : x
  2. Step 2: Convert to fraction form
    146,401/219,601.50 = 46,561.40/x
  3. Step 3: Cross multiply
    146,401x = 219,601.50 × 46,561.40
  4. Step 4: Simplify right side
    146,401x = 10,224,953,282.10
  5. Step 5: Solve for x
    x = 10,224,953,282.10/146,401
  6. Step 6: Final answer
    x = 69,842.10

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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.