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Finding the Fourth Proportional to 70,639.40, 105,872.70 and 31,154.60

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Solution

The fourth proportional to 70,639.40, 105,872.70 and 31,154.60 is: 46,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,639.40 : 105,872.70 = 31,154.60 : x
  2. Step 2: Convert to fraction form
    70,639.40/105,872.70 = 31,154.60/x
  3. Step 3: Cross multiply
    70,639.40x = 105,872.70 × 31,154.60
  4. Step 4: Simplify right side
    70,639.40x = 3,298,421,619.42
  5. Step 5: Solve for x
    x = 3,298,421,619.42/70,639.40
  6. Step 6: Final answer
    x = 46,693.79

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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.