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Finding the Fourth Proportional to 70,530.42, 105,771.02 and 31,066

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Solution

The fourth proportional to 70,530.42, 105,771.02 and 31,066 is: 46,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.42 : 105,771.02 = 31,066 : x
  2. Step 2: Convert to fraction form
    70,530.42/105,771.02 = 31,066/x
  3. Step 3: Cross multiply
    70,530.42x = 105,771.02 × 31,066
  4. Step 4: Simplify right side
    70,530.42x = 3,285,882,429.66
  5. Step 5: Solve for x
    x = 3,285,882,429.66/70,530.42
  6. Step 6: Final answer
    x = 46,588.16

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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.