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Finding the Fourth Proportional to 69,686.48, 104,451.92 and 30,184.40

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Solution

The fourth proportional to 69,686.48, 104,451.92 and 30,184.40 is: 45,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,686.48 : 104,451.92 = 30,184.40 : x
  2. Step 2: Convert to fraction form
    69,686.48/104,451.92 = 30,184.40/x
  3. Step 3: Cross multiply
    69,686.48x = 104,451.92 × 30,184.40
  4. Step 4: Simplify right side
    69,686.48x = 3,152,818,534.05
  5. Step 5: Solve for x
    x = 3,152,818,534.05/69,686.48
  6. Step 6: Final answer
    x = 45,242.90

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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.