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Finding the Fourth Proportional to 20,117.60, 30,176.40 and 15,970.40

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Solution

The fourth proportional to 20,117.60, 30,176.40 and 15,970.40 is: 23,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.60 : 30,176.40 = 15,970.40 : x
  2. Step 2: Convert to fraction form
    20,117.60/30,176.40 = 15,970.40/x
  3. Step 3: Cross multiply
    20,117.60x = 30,176.40 × 15,970.40
  4. Step 4: Simplify right side
    20,117.60x = 481,929,178.56
  5. Step 5: Solve for x
    x = 481,929,178.56/20,117.60
  6. Step 6: Final answer
    x = 23,955.60

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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.