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Finding the Fourth Proportional to 109,400.76, 149,988.49 and 107,407.96

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Solution

The fourth proportional to 109,400.76, 149,988.49 and 107,407.96 is: 147,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,400.76 : 149,988.49 = 107,407.96 : x
  2. Step 2: Convert to fraction form
    109,400.76/149,988.49 = 107,407.96/x
  3. Step 3: Cross multiply
    109,400.76x = 149,988.49 × 107,407.96
  4. Step 4: Simplify right side
    109,400.76x = 16,109,957,734.38
  5. Step 5: Solve for x
    x = 16,109,957,734.38/109,400.76
  6. Step 6: Final answer
    x = 147,256.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.