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Finding the Fourth Proportional to 145,896.48, 218,846.88 and 40,716

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Solution

The fourth proportional to 145,896.48, 218,846.88 and 40,716 is: 61,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.48 : 218,846.88 = 40,716 : x
  2. Step 2: Convert to fraction form
    145,896.48/218,846.88 = 40,716/x
  3. Step 3: Cross multiply
    145,896.48x = 218,846.88 × 40,716
  4. Step 4: Simplify right side
    145,896.48x = 8,910,569,566.08
  5. Step 5: Solve for x
    x = 8,910,569,566.08/145,896.48
  6. Step 6: Final answer
    x = 61,074.60

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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.