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Finding the Fourth Proportional to 102,563.20, 153,931.20 and 40,278.40

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Solution

The fourth proportional to 102,563.20, 153,931.20 and 40,278.40 is: 60,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,563.20 : 153,931.20 = 40,278.40 : x
  2. Step 2: Convert to fraction form
    102,563.20/153,931.20 = 40,278.40/x
  3. Step 3: Cross multiply
    102,563.20x = 153,931.20 × 40,278.40
  4. Step 4: Simplify right side
    102,563.20x = 6,200,102,446.08
  5. Step 5: Solve for x
    x = 6,200,102,446.08/102,563.20
  6. Step 6: Final answer
    x = 60,451.53

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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.