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Finding the Fourth Proportional to 70,441, 105,588.70 and 23,678.12

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Solution

The fourth proportional to 70,441, 105,588.70 and 23,678.12 is: 35,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,441 : 105,588.70 = 23,678.12 : x
  2. Step 2: Convert to fraction form
    70,441/105,588.70 = 23,678.12/x
  3. Step 3: Cross multiply
    70,441x = 105,588.70 × 23,678.12
  4. Step 4: Simplify right side
    70,441x = 2,500,141,909.24
  5. Step 5: Solve for x
    x = 2,500,141,909.24/70,441
  6. Step 6: Final answer
    x = 35,492.71

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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.