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Finding the Fourth Proportional to 145,622.94, 218,519.34 and 61,377.96

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Solution

The fourth proportional to 145,622.94, 218,519.34 and 61,377.96 is: 92,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,622.94 : 218,519.34 = 61,377.96 : x
  2. Step 2: Convert to fraction form
    145,622.94/218,519.34 = 61,377.96/x
  3. Step 3: Cross multiply
    145,622.94x = 218,519.34 × 61,377.96
  4. Step 4: Simplify right side
    145,622.94x = 13,412,271,309.75
  5. Step 5: Solve for x
    x = 13,412,271,309.75/145,622.94
  6. Step 6: Final answer
    x = 92,102.74

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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.