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Finding the Fourth Proportional to 69,141.70, 103,686.63 and 29,678.50

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Solution

The fourth proportional to 69,141.70, 103,686.63 and 29,678.50 is: 44,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,141.70 : 103,686.63 = 29,678.50 : x
  2. Step 2: Convert to fraction form
    69,141.70/103,686.63 = 29,678.50/x
  3. Step 3: Cross multiply
    69,141.70x = 103,686.63 × 29,678.50
  4. Step 4: Simplify right side
    69,141.70x = 3,077,263,648.46
  5. Step 5: Solve for x
    x = 3,077,263,648.46/69,141.70
  6. Step 6: Final answer
    x = 44,506.62

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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.