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Finding the Fourth Proportional to 70,631.40, 105,860.70 and 31,146.60

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Solution

The fourth proportional to 70,631.40, 105,860.70 and 31,146.60 is: 46,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,631.40 : 105,860.70 = 31,146.60 : x
  2. Step 2: Convert to fraction form
    70,631.40/105,860.70 = 31,146.60/x
  3. Step 3: Cross multiply
    70,631.40x = 105,860.70 × 31,146.60
  4. Step 4: Simplify right side
    70,631.40x = 3,297,200,878.62
  5. Step 5: Solve for x
    x = 3,297,200,878.62/70,631.40
  6. Step 6: Final answer
    x = 46,681.80

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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.