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Finding the Fourth Proportional to 70,375, 105,569.40 and 20,455.50

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Solution

The fourth proportional to 70,375, 105,569.40 and 20,455.50 is: 30,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,375 : 105,569.40 = 20,455.50 : x
  2. Step 2: Convert to fraction form
    70,375/105,569.40 = 20,455.50/x
  3. Step 3: Cross multiply
    70,375x = 105,569.40 × 20,455.50
  4. Step 4: Simplify right side
    70,375x = 2,159,474,861.70
  5. Step 5: Solve for x
    x = 2,159,474,861.70/70,375
  6. Step 6: Final answer
    x = 30,685.26

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1.5x scale

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.