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Finding the Fourth Proportional to 100,102.76, 150,178.20 and 40,938.40

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Solution

The fourth proportional to 100,102.76, 150,178.20 and 40,938.40 is: 61,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.76 : 150,178.20 = 40,938.40 : x
  2. Step 2: Convert to fraction form
    100,102.76/150,178.20 = 40,938.40/x
  3. Step 3: Cross multiply
    100,102.76x = 150,178.20 × 40,938.40
  4. Step 4: Simplify right side
    100,102.76x = 6,148,055,222.88
  5. Step 5: Solve for x
    x = 6,148,055,222.88/100,102.76
  6. Step 6: Final answer
    x = 61,417.44

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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.