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Finding the Fourth Proportional to 139,413, 192,390.84 and 75,750.78

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Solution

The fourth proportional to 139,413, 192,390.84 and 75,750.78 is: 104,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,413 : 192,390.84 = 75,750.78 : x
  2. Step 2: Convert to fraction form
    139,413/192,390.84 = 75,750.78/x
  3. Step 3: Cross multiply
    139,413x = 192,390.84 × 75,750.78
  4. Step 4: Simplify right side
    139,413x = 14,573,756,194.86
  5. Step 5: Solve for x
    x = 14,573,756,194.86/139,413
  6. Step 6: Final answer
    x = 104,536.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.