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Finding the Fourth Proportional to 70,391.52, 105,594.15 and 20,472

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Solution

The fourth proportional to 70,391.52, 105,594.15 and 20,472 is: 30,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,391.52 : 105,594.15 = 20,472 : x
  2. Step 2: Convert to fraction form
    70,391.52/105,594.15 = 20,472/x
  3. Step 3: Cross multiply
    70,391.52x = 105,594.15 × 20,472
  4. Step 4: Simplify right side
    70,391.52x = 2,161,723,438.80
  5. Step 5: Solve for x
    x = 2,161,723,438.80/70,391.52
  6. Step 6: Final answer
    x = 30,710.00

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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.