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Finding the Fourth Proportional to 70,650, 105,975.24 and 21,402

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Solution

The fourth proportional to 70,650, 105,975.24 and 21,402 is: 32,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,650 : 105,975.24 = 21,402 : x
  2. Step 2: Convert to fraction form
    70,650/105,975.24 = 21,402/x
  3. Step 3: Cross multiply
    70,650x = 105,975.24 × 21,402
  4. Step 4: Simplify right side
    70,650x = 2,268,082,086.48
  5. Step 5: Solve for x
    x = 2,268,082,086.48/70,650
  6. Step 6: Final answer
    x = 32,103.07

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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.