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Finding the Fourth Proportional to 70,279.80, 105,419.70 and 46,660.20

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Solution

The fourth proportional to 70,279.80, 105,419.70 and 46,660.20 is: 69,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,279.80 : 105,419.70 = 46,660.20 : x
  2. Step 2: Convert to fraction form
    70,279.80/105,419.70 = 46,660.20/x
  3. Step 3: Cross multiply
    70,279.80x = 105,419.70 × 46,660.20
  4. Step 4: Simplify right side
    70,279.80x = 4,918,904,285.94
  5. Step 5: Solve for x
    x = 4,918,904,285.94/70,279.80
  6. Step 6: Final answer
    x = 69,990.30

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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.